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Finding the Third Proportional to 141,002 and 218,438.50

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Solution

The third proportional to 141,002 and 218,438.50 is: 338,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,002 : 218,438.50 = 218,438.50 : x
  2. Step 2: Convert to fraction form
    141,002/218,438.50 = 218,438.50/x
  3. Step 3: Cross multiply
    141,002x = 218,438.50 × 218,438.50
  4. Step 4: Simplify right side
    141,002x = 47,715,378,282.25
  5. Step 5: Solve for x
    x = 47,715,378,282.25/141,002
  6. Step 6: Final answer
    x = 338,402.14

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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.