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Finding the Third Proportional to 176,332 and 272,441

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Solution

The third proportional to 176,332 and 272,441 is: 420,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,332 : 272,441 = 272,441 : x
  2. Step 2: Convert to fraction form
    176,332/272,441 = 272,441/x
  3. Step 3: Cross multiply
    176,332x = 272,441 × 272,441
  4. Step 4: Simplify right side
    176,332x = 74,224,098,481
  5. Step 5: Solve for x
    x = 74,224,098,481/176,332
  6. Step 6: Final answer
    x = 420,933.80

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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.