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Finding the Third Proportional to 206,665.13 and 292,511.63

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Solution

The third proportional to 206,665.13 and 292,511.63 is: 414,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,665.13 : 292,511.63 = 292,511.63 : x
  2. Step 2: Convert to fraction form
    206,665.13/292,511.63 = 292,511.63/x
  3. Step 3: Cross multiply
    206,665.13x = 292,511.63 × 292,511.63
  4. Step 4: Simplify right side
    206,665.13x = 85,563,050,760.14
  5. Step 5: Solve for x
    x = 85,563,050,760.14/206,665.13
  6. Step 6: Final answer
    x = 414,017.85

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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.