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Finding the Third Proportional to 149,528.25 and 222,132.38

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Solution

The third proportional to 149,528.25 and 222,132.38 is: 329,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,528.25 : 222,132.38 = 222,132.38 : x
  2. Step 2: Convert to fraction form
    149,528.25/222,132.38 = 222,132.38/x
  3. Step 3: Cross multiply
    149,528.25x = 222,132.38 × 222,132.38
  4. Step 4: Simplify right side
    149,528.25x = 49,342,792,023.14
  5. Step 5: Solve for x
    x = 49,342,792,023.14/149,528.25
  6. Step 6: Final answer
    x = 329,989.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.