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Finding the Third Proportional to 218,537 and 337,511

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Solution

The third proportional to 218,537 and 337,511 is: 521,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,537 : 337,511 = 337,511 : x
  2. Step 2: Convert to fraction form
    218,537/337,511 = 337,511/x
  3. Step 3: Cross multiply
    218,537x = 337,511 × 337,511
  4. Step 4: Simplify right side
    218,537x = 113,913,675,121
  5. Step 5: Solve for x
    x = 113,913,675,121/218,537
  6. Step 6: Final answer
    x = 521,255.78

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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.