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Finding the Third Proportional to 207,202 and 292,466

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Solution

The third proportional to 207,202 and 292,466 is: 412,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,202 : 292,466 = 292,466 : x
  2. Step 2: Convert to fraction form
    207,202/292,466 = 292,466/x
  3. Step 3: Cross multiply
    207,202x = 292,466 × 292,466
  4. Step 4: Simplify right side
    207,202x = 85,536,361,156
  5. Step 5: Solve for x
    x = 85,536,361,156/207,202
  6. Step 6: Final answer
    x = 412,816.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.