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Finding the Third Proportional to 148,530 and 223,509

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Solution

The third proportional to 148,530 and 223,509 is: 336,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,530 : 223,509 = 223,509 : x
  2. Step 2: Convert to fraction form
    148,530/223,509 = 223,509/x
  3. Step 3: Cross multiply
    148,530x = 223,509 × 223,509
  4. Step 4: Simplify right side
    148,530x = 49,956,273,081
  5. Step 5: Solve for x
    x = 49,956,273,081/148,530
  6. Step 6: Final answer
    x = 336,337.93

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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.