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Finding the Third Proportional to 176,936 and 273,996

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Solution

The third proportional to 176,936 and 273,996 is: 424,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,936 : 273,996 = 273,996 : x
  2. Step 2: Convert to fraction form
    176,936/273,996 = 273,996/x
  3. Step 3: Cross multiply
    176,936x = 273,996 × 273,996
  4. Step 4: Simplify right side
    176,936x = 75,073,808,016
  5. Step 5: Solve for x
    x = 75,073,808,016/176,936
  6. Step 6: Final answer
    x = 424,299.23

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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.