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Finding the Third Proportional to 185,186.25 and 271,198.13

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Solution

The third proportional to 185,186.25 and 271,198.13 is: 397,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,186.25 : 271,198.13 = 271,198.13 : x
  2. Step 2: Convert to fraction form
    185,186.25/271,198.13 = 271,198.13/x
  3. Step 3: Cross multiply
    185,186.25x = 271,198.13 × 271,198.13
  4. Step 4: Simplify right side
    185,186.25x = 73,548,423,003.52
  5. Step 5: Solve for x
    x = 73,548,423,003.52/185,186.25
  6. Step 6: Final answer
    x = 397,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.