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Finding the Third Proportional to 148,233.38 and 221,945.06

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Solution

The third proportional to 148,233.38 and 221,945.06 is: 332,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,233.38 : 221,945.06 = 221,945.06 : x
  2. Step 2: Convert to fraction form
    148,233.38/221,945.06 = 221,945.06/x
  3. Step 3: Cross multiply
    148,233.38x = 221,945.06 × 221,945.06
  4. Step 4: Simplify right side
    148,233.38x = 49,259,610,768.13
  5. Step 5: Solve for x
    x = 49,259,610,768.13/148,233.38
  6. Step 6: Final answer
    x = 332,311.20

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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.