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Finding the Third Proportional to 206,669 and 292,518

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Solution

The third proportional to 206,669 and 292,518 is: 414,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,669 : 292,518 = 292,518 : x
  2. Step 2: Convert to fraction form
    206,669/292,518 = 292,518/x
  3. Step 3: Cross multiply
    206,669x = 292,518 × 292,518
  4. Step 4: Simplify right side
    206,669x = 85,566,780,324
  5. Step 5: Solve for x
    x = 85,566,780,324/206,669
  6. Step 6: Final answer
    x = 414,028.13

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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.