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Finding the Third Proportional to 242.44 and 371.86

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Solution

The third proportional to 242.44 and 371.86 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 371.86 = 371.86 : x
  2. Step 2: Convert to fraction form
    242.44/371.86 = 371.86/x
  3. Step 3: Cross multiply
    242.44x = 371.86 × 371.86
  4. Step 4: Simplify right side
    242.44x = 138,279.39
  5. Step 5: Solve for x
    x = 138,279.39/242.44
  6. Step 6: Final answer
    x = 570.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.