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Finding the Third Proportional to 131,143.13 and 235,302

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Solution

The third proportional to 131,143.13 and 235,302 is: 422,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,143.13 : 235,302 = 235,302 : x
  2. Step 2: Convert to fraction form
    131,143.13/235,302 = 235,302/x
  3. Step 3: Cross multiply
    131,143.13x = 235,302 × 235,302
  4. Step 4: Simplify right side
    131,143.13x = 55,367,031,204
  5. Step 5: Solve for x
    x = 55,367,031,204/131,143.13
  6. Step 6: Final answer
    x = 422,187.83

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.