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Finding the Third Proportional to 177,244 and 272,437

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Solution

The third proportional to 177,244 and 272,437 is: 418,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,244 : 272,437 = 272,437 : x
  2. Step 2: Convert to fraction form
    177,244/272,437 = 272,437/x
  3. Step 3: Cross multiply
    177,244x = 272,437 × 272,437
  4. Step 4: Simplify right side
    177,244x = 74,221,918,969
  5. Step 5: Solve for x
    x = 74,221,918,969/177,244
  6. Step 6: Final answer
    x = 418,755.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.