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Finding the Third Proportional to 169,591 and 268,481

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Solution

The third proportional to 169,591 and 268,481 is: 425,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,591 : 268,481 = 268,481 : x
  2. Step 2: Convert to fraction form
    169,591/268,481 = 268,481/x
  3. Step 3: Cross multiply
    169,591x = 268,481 × 268,481
  4. Step 4: Simplify right side
    169,591x = 72,082,047,361
  5. Step 5: Solve for x
    x = 72,082,047,361/169,591
  6. Step 6: Final answer
    x = 425,034.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.