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Finding the Third Proportional to 206,934.75 and 292,835.25

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Solution

The third proportional to 206,934.75 and 292,835.25 is: 414,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,934.75 : 292,835.25 = 292,835.25 : x
  2. Step 2: Convert to fraction form
    206,934.75/292,835.25 = 292,835.25/x
  3. Step 3: Cross multiply
    206,934.75x = 292,835.25 × 292,835.25
  4. Step 4: Simplify right side
    206,934.75x = 85,752,483,642.56
  5. Step 5: Solve for x
    x = 85,752,483,642.56/206,934.75
  6. Step 6: Final answer
    x = 414,393.83

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