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Finding the Third Proportional to 204,545.25 and 437,519.25

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Solution

The third proportional to 204,545.25 and 437,519.25 is: 935,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,545.25 : 437,519.25 = 437,519.25 : x
  2. Step 2: Convert to fraction form
    204,545.25/437,519.25 = 437,519.25/x
  3. Step 3: Cross multiply
    204,545.25x = 437,519.25 × 437,519.25
  4. Step 4: Simplify right side
    204,545.25x = 191,423,094,120.56
  5. Step 5: Solve for x
    x = 191,423,094,120.56/204,545.25
  6. Step 6: Final answer
    x = 935,847.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.