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Finding the Third Proportional to 218,535 and 337,508

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Solution

The third proportional to 218,535 and 337,508 is: 521,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,535 : 337,508 = 337,508 : x
  2. Step 2: Convert to fraction form
    218,535/337,508 = 337,508/x
  3. Step 3: Cross multiply
    218,535x = 337,508 × 337,508
  4. Step 4: Simplify right side
    218,535x = 113,911,650,064
  5. Step 5: Solve for x
    x = 113,911,650,064/218,535
  6. Step 6: Final answer
    x = 521,251.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.