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Finding the Third Proportional to 206,838 and 292,686.75

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Solution

The third proportional to 206,838 and 292,686.75 is: 414,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 292,686.75 = 292,686.75 : x
  2. Step 2: Convert to fraction form
    206,838/292,686.75 = 292,686.75/x
  3. Step 3: Cross multiply
    206,838x = 292,686.75 × 292,686.75
  4. Step 4: Simplify right side
    206,838x = 85,665,533,625.56
  5. Step 5: Solve for x
    x = 85,665,533,625.56/206,838
  6. Step 6: Final answer
    x = 414,167.29

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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.