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Finding the Third Proportional to 127,132 and 274,256

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Solution

The third proportional to 127,132 and 274,256 is: 591,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,132 : 274,256 = 274,256 : x
  2. Step 2: Convert to fraction form
    127,132/274,256 = 274,256/x
  3. Step 3: Cross multiply
    127,132x = 274,256 × 274,256
  4. Step 4: Simplify right side
    127,132x = 75,216,353,536
  5. Step 5: Solve for x
    x = 75,216,353,536/127,132
  6. Step 6: Final answer
    x = 591,639.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.