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Finding the Third Proportional to 206,670.38 and 292,519.69

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Solution

The third proportional to 206,670.38 and 292,519.69 is: 414,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,670.38 : 292,519.69 = 292,519.69 : x
  2. Step 2: Convert to fraction form
    206,670.38/292,519.69 = 292,519.69/x
  3. Step 3: Cross multiply
    206,670.38x = 292,519.69 × 292,519.69
  4. Step 4: Simplify right side
    206,670.38x = 85,567,767,575.10
  5. Step 5: Solve for x
    x = 85,567,767,575.10/206,670.38
  6. Step 6: Final answer
    x = 414,030.16

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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.