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Finding the Third Proportional to 157,582 and 337,304

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Solution

The third proportional to 157,582 and 337,304 is: 721,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,582 : 337,304 = 337,304 : x
  2. Step 2: Convert to fraction form
    157,582/337,304 = 337,304/x
  3. Step 3: Cross multiply
    157,582x = 337,304 × 337,304
  4. Step 4: Simplify right side
    157,582x = 113,773,988,416
  5. Step 5: Solve for x
    x = 113,773,988,416/157,582
  6. Step 6: Final answer
    x = 721,998.63

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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.