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Finding the Third Proportional to 119,304 and 161,448

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Solution

The third proportional to 119,304 and 161,448 is: 218,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,304 : 161,448 = 161,448 : x
  2. Step 2: Convert to fraction form
    119,304/161,448 = 161,448/x
  3. Step 3: Cross multiply
    119,304x = 161,448 × 161,448
  4. Step 4: Simplify right side
    119,304x = 26,065,456,704
  5. Step 5: Solve for x
    x = 26,065,456,704/119,304
  6. Step 6: Final answer
    x = 218,479.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.