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Finding the Third Proportional to 131,736 and 204,364

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Solution

The third proportional to 131,736 and 204,364 is: 317,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,736 : 204,364 = 204,364 : x
  2. Step 2: Convert to fraction form
    131,736/204,364 = 204,364/x
  3. Step 3: Cross multiply
    131,736x = 204,364 × 204,364
  4. Step 4: Simplify right side
    131,736x = 41,764,644,496
  5. Step 5: Solve for x
    x = 41,764,644,496/131,736
  6. Step 6: Final answer
    x = 317,032.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.