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Finding the Third Proportional to 206,727 and 292,590

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Solution

The third proportional to 206,727 and 292,590 is: 414,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,727 : 292,590 = 292,590 : x
  2. Step 2: Convert to fraction form
    206,727/292,590 = 292,590/x
  3. Step 3: Cross multiply
    206,727x = 292,590 × 292,590
  4. Step 4: Simplify right side
    206,727x = 85,608,908,100
  5. Step 5: Solve for x
    x = 85,608,908,100/206,727
  6. Step 6: Final answer
    x = 414,115.76

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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.