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Finding the Third Proportional to 175,295,140 and 272,511,438

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Solution

The third proportional to 175,295,140 and 272,511,438 is: 423,642,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,295,140 : 272,511,438 = 272,511,438 : x
  2. Step 2: Convert to fraction form
    175,295,140/272,511,438 = 272,511,438/x
  3. Step 3: Cross multiply
    175,295,140x = 272,511,438 × 272,511,438
  4. Step 4: Simplify right side
    175,295,140x = 74,262,483,840,827,840
  5. Step 5: Solve for x
    x = 74,262,483,840,827,840/175,295,140
  6. Step 6: Final answer
    x = 423,642,571.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.