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Finding the Third Proportional to 175,716 and 272,322

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Solution

The third proportional to 175,716 and 272,322 is: 422,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,716 : 272,322 = 272,322 : x
  2. Step 2: Convert to fraction form
    175,716/272,322 = 272,322/x
  3. Step 3: Cross multiply
    175,716x = 272,322 × 272,322
  4. Step 4: Simplify right side
    175,716x = 74,159,271,684
  5. Step 5: Solve for x
    x = 74,159,271,684/175,716
  6. Step 6: Final answer
    x = 422,040.52

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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.