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Finding the Third Proportional to 149,728.50 and 220,218.75

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Solution

The third proportional to 149,728.50 and 220,218.75 is: 323,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728.50 : 220,218.75 = 220,218.75 : x
  2. Step 2: Convert to fraction form
    149,728.50/220,218.75 = 220,218.75/x
  3. Step 3: Cross multiply
    149,728.50x = 220,218.75 × 220,218.75
  4. Step 4: Simplify right side
    149,728.50x = 48,496,297,851.56
  5. Step 5: Solve for x
    x = 48,496,297,851.56/149,728.50
  6. Step 6: Final answer
    x = 323,894.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.