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Finding the Third Proportional to 116,442.38 and 175,770.38

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Solution

The third proportional to 116,442.38 and 175,770.38 is: 265,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442.38 : 175,770.38 = 175,770.38 : x
  2. Step 2: Convert to fraction form
    116,442.38/175,770.38 = 175,770.38/x
  3. Step 3: Cross multiply
    116,442.38x = 175,770.38 × 175,770.38
  4. Step 4: Simplify right side
    116,442.38x = 30,895,224,727.64
  5. Step 5: Solve for x
    x = 30,895,224,727.64/116,442.38
  6. Step 6: Final answer
    x = 265,326.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.