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Finding the Third Proportional to 180,865.13 and 247,843.13

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Solution

The third proportional to 180,865.13 and 247,843.13 is: 339,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,865.13 : 247,843.13 = 247,843.13 : x
  2. Step 2: Convert to fraction form
    180,865.13/247,843.13 = 247,843.13/x
  3. Step 3: Cross multiply
    180,865.13x = 247,843.13 × 247,843.13
  4. Step 4: Simplify right side
    180,865.13x = 61,426,214,609.77
  5. Step 5: Solve for x
    x = 61,426,214,609.77/180,865.13
  6. Step 6: Final answer
    x = 339,624.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.