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Finding the Third Proportional to 206,292 and 452,408

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Solution

The third proportional to 206,292 and 452,408 is: 992,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,292 : 452,408 = 452,408 : x
  2. Step 2: Convert to fraction form
    206,292/452,408 = 452,408/x
  3. Step 3: Cross multiply
    206,292x = 452,408 × 452,408
  4. Step 4: Simplify right side
    206,292x = 204,672,998,464
  5. Step 5: Solve for x
    x = 204,672,998,464/206,292
  6. Step 6: Final answer
    x = 992,151.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.