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Finding the Third Proportional to 140,304 and 300,531

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Solution

The third proportional to 140,304 and 300,531 is: 643,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,304 : 300,531 = 300,531 : x
  2. Step 2: Convert to fraction form
    140,304/300,531 = 300,531/x
  3. Step 3: Cross multiply
    140,304x = 300,531 × 300,531
  4. Step 4: Simplify right side
    140,304x = 90,318,881,961
  5. Step 5: Solve for x
    x = 90,318,881,961/140,304
  6. Step 6: Final answer
    x = 643,737.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.