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Finding the Third Proportional to 115,277 and 176,414

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Solution

The third proportional to 115,277 and 176,414 is: 269,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,277 : 176,414 = 176,414 : x
  2. Step 2: Convert to fraction form
    115,277/176,414 = 176,414/x
  3. Step 3: Cross multiply
    115,277x = 176,414 × 176,414
  4. Step 4: Simplify right side
    115,277x = 31,121,899,396
  5. Step 5: Solve for x
    x = 31,121,899,396/115,277
  6. Step 6: Final answer
    x = 269,974.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.