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Finding the Third Proportional to 176,692 and 273,894

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Solution

The third proportional to 176,692 and 273,894 is: 424,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,692 : 273,894 = 273,894 : x
  2. Step 2: Convert to fraction form
    176,692/273,894 = 273,894/x
  3. Step 3: Cross multiply
    176,692x = 273,894 × 273,894
  4. Step 4: Simplify right side
    176,692x = 75,017,923,236
  5. Step 5: Solve for x
    x = 75,017,923,236/176,692
  6. Step 6: Final answer
    x = 424,568.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.