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Finding the Third Proportional to 159,934.50 and 344,472.75

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Solution

The third proportional to 159,934.50 and 344,472.75 is: 741,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,934.50 : 344,472.75 = 344,472.75 : x
  2. Step 2: Convert to fraction form
    159,934.50/344,472.75 = 344,472.75/x
  3. Step 3: Cross multiply
    159,934.50x = 344,472.75 × 344,472.75
  4. Step 4: Simplify right side
    159,934.50x = 118,661,475,492.56
  5. Step 5: Solve for x
    x = 118,661,475,492.56/159,934.50
  6. Step 6: Final answer
    x = 741,937.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.