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Finding the Third Proportional to 206,672 and 292,543

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Solution

The third proportional to 206,672 and 292,543 is: 414,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,672 : 292,543 = 292,543 : x
  2. Step 2: Convert to fraction form
    206,672/292,543 = 292,543/x
  3. Step 3: Cross multiply
    206,672x = 292,543 × 292,543
  4. Step 4: Simplify right side
    206,672x = 85,581,406,849
  5. Step 5: Solve for x
    x = 85,581,406,849/206,672
  6. Step 6: Final answer
    x = 414,092.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.