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Finding the Third Proportional to 176,256 and 273,600

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Solution

The third proportional to 176,256 and 273,600 is: 424,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 273,600 = 273,600 : x
  2. Step 2: Convert to fraction form
    176,256/273,600 = 273,600/x
  3. Step 3: Cross multiply
    176,256x = 273,600 × 273,600
  4. Step 4: Simplify right side
    176,256x = 74,856,960,000
  5. Step 5: Solve for x
    x = 74,856,960,000/176,256
  6. Step 6: Final answer
    x = 424,705.88

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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.