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Finding the Third Proportional to 169,382 and 253,241

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Solution

The third proportional to 169,382 and 253,241 is: 378,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,382 : 253,241 = 253,241 : x
  2. Step 2: Convert to fraction form
    169,382/253,241 = 253,241/x
  3. Step 3: Cross multiply
    169,382x = 253,241 × 253,241
  4. Step 4: Simplify right side
    169,382x = 64,131,004,081
  5. Step 5: Solve for x
    x = 64,131,004,081/169,382
  6. Step 6: Final answer
    x = 378,617.59

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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.