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Finding the Third Proportional to 206,616 and 292,460

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Solution

The third proportional to 206,616 and 292,460 is: 413,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,616 : 292,460 = 292,460 : x
  2. Step 2: Convert to fraction form
    206,616/292,460 = 292,460/x
  3. Step 3: Cross multiply
    206,616x = 292,460 × 292,460
  4. Step 4: Simplify right side
    206,616x = 85,532,851,600
  5. Step 5: Solve for x
    x = 85,532,851,600/206,616
  6. Step 6: Final answer
    x = 413,970.13

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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.