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Finding the Third Proportional to 147,421.25 and 220,900.75

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Solution

The third proportional to 147,421.25 and 220,900.75 is: 331,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,421.25 : 220,900.75 = 220,900.75 : x
  2. Step 2: Convert to fraction form
    147,421.25/220,900.75 = 220,900.75/x
  3. Step 3: Cross multiply
    147,421.25x = 220,900.75 × 220,900.75
  4. Step 4: Simplify right side
    147,421.25x = 48,797,141,350.56
  5. Step 5: Solve for x
    x = 48,797,141,350.56/147,421.25
  6. Step 6: Final answer
    x = 331,004.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.