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Finding the Third Proportional to 151.31 and 348.19

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Solution

The third proportional to 151.31 and 348.19 is: 801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.31 : 348.19 = 348.19 : x
  2. Step 2: Convert to fraction form
    151.31/348.19 = 348.19/x
  3. Step 3: Cross multiply
    151.31x = 348.19 × 348.19
  4. Step 4: Simplify right side
    151.31x = 121,234.54
  5. Step 5: Solve for x
    x = 121,234.54/151.31
  6. Step 6: Final answer
    x = 801.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.