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Finding the Third Proportional to 141,002.44 and 218,438.44

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Solution

The third proportional to 141,002.44 and 218,438.44 is: 338,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,002.44 : 218,438.44 = 218,438.44 : x
  2. Step 2: Convert to fraction form
    141,002.44/218,438.44 = 218,438.44/x
  3. Step 3: Cross multiply
    141,002.44x = 218,438.44 × 218,438.44
  4. Step 4: Simplify right side
    141,002.44x = 47,715,350,977.44
  5. Step 5: Solve for x
    x = 47,715,350,977.44/141,002.44
  6. Step 6: Final answer
    x = 338,400.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.