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Finding the Third Proportional to 206,669 and 292,516

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Solution

The third proportional to 206,669 and 292,516 is: 414,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,669 : 292,516 = 292,516 : x
  2. Step 2: Convert to fraction form
    206,669/292,516 = 292,516/x
  3. Step 3: Cross multiply
    206,669x = 292,516 × 292,516
  4. Step 4: Simplify right side
    206,669x = 85,565,610,256
  5. Step 5: Solve for x
    x = 85,565,610,256/206,669
  6. Step 6: Final answer
    x = 414,022.47

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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.