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Finding the Third Proportional to 155,286.38 and 332,716.13

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Solution

The third proportional to 155,286.38 and 332,716.13 is: 712,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286.38 : 332,716.13 = 332,716.13 : x
  2. Step 2: Convert to fraction form
    155,286.38/332,716.13 = 332,716.13/x
  3. Step 3: Cross multiply
    155,286.38x = 332,716.13 × 332,716.13
  4. Step 4: Simplify right side
    155,286.38x = 110,700,019,835.02
  5. Step 5: Solve for x
    x = 110,700,019,835.02/155,286.38
  6. Step 6: Final answer
    x = 712,876.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.