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Finding the Third Proportional to 113,599.13 and 178,218.56

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Solution

The third proportional to 113,599.13 and 178,218.56 is: 279,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,599.13 : 178,218.56 = 178,218.56 : x
  2. Step 2: Convert to fraction form
    113,599.13/178,218.56 = 178,218.56/x
  3. Step 3: Cross multiply
    113,599.13x = 178,218.56 × 178,218.56
  4. Step 4: Simplify right side
    113,599.13x = 31,761,856,019.57
  5. Step 5: Solve for x
    x = 31,761,856,019.57/113,599.13
  6. Step 6: Final answer
    x = 279,595.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.