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Finding the Third Proportional to 148,591 and 223,591

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Solution

The third proportional to 148,591 and 223,591 is: 336,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,591 : 223,591 = 223,591 : x
  2. Step 2: Convert to fraction form
    148,591/223,591 = 223,591/x
  3. Step 3: Cross multiply
    148,591x = 223,591 × 223,591
  4. Step 4: Simplify right side
    148,591x = 49,992,935,281
  5. Step 5: Solve for x
    x = 49,992,935,281/148,591
  6. Step 6: Final answer
    x = 336,446.59

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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.