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Finding the Third Proportional to 207,192.66 and 292,451.34

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Solution

The third proportional to 207,192.66 and 292,451.34 is: 412,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,192.66 : 292,451.34 = 292,451.34 : x
  2. Step 2: Convert to fraction form
    207,192.66/292,451.34 = 292,451.34/x
  3. Step 3: Cross multiply
    207,192.66x = 292,451.34 × 292,451.34
  4. Step 4: Simplify right side
    207,192.66x = 85,527,788,461.18
  5. Step 5: Solve for x
    x = 85,527,788,461.18/207,192.66
  6. Step 6: Final answer
    x = 412,793.53

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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.