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Finding the Third Proportional to 148.92 and 243.42

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Solution

The third proportional to 148.92 and 243.42 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 243.42 = 243.42 : x
  2. Step 2: Convert to fraction form
    148.92/243.42 = 243.42/x
  3. Step 3: Cross multiply
    148.92x = 243.42 × 243.42
  4. Step 4: Simplify right side
    148.92x = 59,254.21
  5. Step 5: Solve for x
    x = 59,254.21/148.92
  6. Step 6: Final answer
    x = 397.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.