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Finding the Third Proportional to 155,864 and 337,963

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Solution

The third proportional to 155,864 and 337,963 is: 732,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,864 : 337,963 = 337,963 : x
  2. Step 2: Convert to fraction form
    155,864/337,963 = 337,963/x
  3. Step 3: Cross multiply
    155,864x = 337,963 × 337,963
  4. Step 4: Simplify right side
    155,864x = 114,218,989,369
  5. Step 5: Solve for x
    x = 114,218,989,369/155,864
  6. Step 6: Final answer
    x = 732,811.87

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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.