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Finding the Third Proportional to 206,398.13 and 292,272.05

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Solution

The third proportional to 206,398.13 and 292,272.05 is: 413,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.13 : 292,272.05 = 292,272.05 : x
  2. Step 2: Convert to fraction form
    206,398.13/292,272.05 = 292,272.05/x
  3. Step 3: Cross multiply
    206,398.13x = 292,272.05 × 292,272.05
  4. Step 4: Simplify right side
    206,398.13x = 85,422,949,384.50
  5. Step 5: Solve for x
    x = 85,422,949,384.50/206,398.13
  6. Step 6: Final answer
    x = 413,874.64

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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.