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Finding the Third Proportional to 157,812 and 337,782

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Solution

The third proportional to 157,812 and 337,782 is: 722,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,812 : 337,782 = 337,782 : x
  2. Step 2: Convert to fraction form
    157,812/337,782 = 337,782/x
  3. Step 3: Cross multiply
    157,812x = 337,782 × 337,782
  4. Step 4: Simplify right side
    157,812x = 114,096,679,524
  5. Step 5: Solve for x
    x = 114,096,679,524/157,812
  6. Step 6: Final answer
    x = 722,991.15

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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.