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Finding the Third Proportional to 204,747.75 and 313,642.13

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Solution

The third proportional to 204,747.75 and 313,642.13 is: 480,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,747.75 : 313,642.13 = 313,642.13 : x
  2. Step 2: Convert to fraction form
    204,747.75/313,642.13 = 313,642.13/x
  3. Step 3: Cross multiply
    204,747.75x = 313,642.13 × 313,642.13
  4. Step 4: Simplify right side
    204,747.75x = 98,371,382,574.52
  5. Step 5: Solve for x
    x = 98,371,382,574.52/204,747.75
  6. Step 6: Final answer
    x = 480,451.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.