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Finding the Third Proportional to 155,769 and 337,782

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Solution

The third proportional to 155,769 and 337,782 is: 732,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,769 : 337,782 = 337,782 : x
  2. Step 2: Convert to fraction form
    155,769/337,782 = 337,782/x
  3. Step 3: Cross multiply
    155,769x = 337,782 × 337,782
  4. Step 4: Simplify right side
    155,769x = 114,096,679,524
  5. Step 5: Solve for x
    x = 114,096,679,524/155,769
  6. Step 6: Final answer
    x = 732,473.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.