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Finding the Third Proportional to 131,163.75 and 282,394.13

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Solution

The third proportional to 131,163.75 and 282,394.13 is: 607,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,163.75 : 282,394.13 = 282,394.13 : x
  2. Step 2: Convert to fraction form
    131,163.75/282,394.13 = 282,394.13/x
  3. Step 3: Cross multiply
    131,163.75x = 282,394.13 × 282,394.13
  4. Step 4: Simplify right side
    131,163.75x = 79,746,441,834.52
  5. Step 5: Solve for x
    x = 79,746,441,834.52/131,163.75
  6. Step 6: Final answer
    x = 607,991.48

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Why These Related Problems?

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