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Finding the Third Proportional to 127.04 and 276.86

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Solution

The third proportional to 127.04 and 276.86 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.04 : 276.86 = 276.86 : x
  2. Step 2: Convert to fraction form
    127.04/276.86 = 276.86/x
  3. Step 3: Cross multiply
    127.04x = 276.86 × 276.86
  4. Step 4: Simplify right side
    127.04x = 76,648.95
  5. Step 5: Solve for x
    x = 76,648.95/127.04
  6. Step 6: Final answer
    x = 603.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.