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Finding the Third Proportional to 204,626 and 310,098

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Solution

The third proportional to 204,626 and 310,098 is: 469,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,626 : 310,098 = 310,098 : x
  2. Step 2: Convert to fraction form
    204,626/310,098 = 310,098/x
  3. Step 3: Cross multiply
    204,626x = 310,098 × 310,098
  4. Step 4: Simplify right side
    204,626x = 96,160,769,604
  5. Step 5: Solve for x
    x = 96,160,769,604/204,626
  6. Step 6: Final answer
    x = 469,934.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.