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Finding the Third Proportional to 207,192.88 and 292,451.75

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Solution

The third proportional to 207,192.88 and 292,451.75 is: 412,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,192.88 : 292,451.75 = 292,451.75 : x
  2. Step 2: Convert to fraction form
    207,192.88/292,451.75 = 292,451.75/x
  3. Step 3: Cross multiply
    207,192.88x = 292,451.75 × 292,451.75
  4. Step 4: Simplify right side
    207,192.88x = 85,528,026,078.06
  5. Step 5: Solve for x
    x = 85,528,026,078.06/207,192.88
  6. Step 6: Final answer
    x = 412,794.24

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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.