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Finding the Third Proportional to 127 and 183.44

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Solution

The third proportional to 127 and 183.44 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 183.44 = 183.44 : x
  2. Step 2: Convert to fraction form
    127/183.44 = 183.44/x
  3. Step 3: Cross multiply
    127x = 183.44 × 183.44
  4. Step 4: Simplify right side
    127x = 33,649.32
  5. Step 5: Solve for x
    x = 33,649.32/127
  6. Step 6: Final answer
    x = 264.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.