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Finding the Third Proportional to 204,680 and 315,767

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Solution

The third proportional to 204,680 and 315,767 is: 487,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,680 : 315,767 = 315,767 : x
  2. Step 2: Convert to fraction form
    204,680/315,767 = 315,767/x
  3. Step 3: Cross multiply
    204,680x = 315,767 × 315,767
  4. Step 4: Simplify right side
    204,680x = 99,708,798,289
  5. Step 5: Solve for x
    x = 99,708,798,289/204,680
  6. Step 6: Final answer
    x = 487,144.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.