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Finding the Third Proportional to 188,857.13 and 292,859.44

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Solution

The third proportional to 188,857.13 and 292,859.44 is: 454,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,857.13 : 292,859.44 = 292,859.44 : x
  2. Step 2: Convert to fraction form
    188,857.13/292,859.44 = 292,859.44/x
  3. Step 3: Cross multiply
    188,857.13x = 292,859.44 × 292,859.44
  4. Step 4: Simplify right side
    188,857.13x = 85,766,650,132.82
  5. Step 5: Solve for x
    x = 85,766,650,132.82/188,857.13
  6. Step 6: Final answer
    x = 454,135.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.