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Finding the Third Proportional to 136,475.50 and 218,002.25

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Solution

The third proportional to 136,475.50 and 218,002.25 is: 348,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,475.50 : 218,002.25 = 218,002.25 : x
  2. Step 2: Convert to fraction form
    136,475.50/218,002.25 = 218,002.25/x
  3. Step 3: Cross multiply
    136,475.50x = 218,002.25 × 218,002.25
  4. Step 4: Simplify right side
    136,475.50x = 47,524,981,005.06
  5. Step 5: Solve for x
    x = 47,524,981,005.06/136,475.50
  6. Step 6: Final answer
    x = 348,230.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.