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Finding the Third Proportional to 149,728.50 and 232,221.38

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Solution

The third proportional to 149,728.50 and 232,221.38 is: 360,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728.50 : 232,221.38 = 232,221.38 : x
  2. Step 2: Convert to fraction form
    149,728.50/232,221.38 = 232,221.38/x
  3. Step 3: Cross multiply
    149,728.50x = 232,221.38 × 232,221.38
  4. Step 4: Simplify right side
    149,728.50x = 53,926,767,006.89
  5. Step 5: Solve for x
    x = 53,926,767,006.89/149,728.50
  6. Step 6: Final answer
    x = 360,163.68

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1.5x scale

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.