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Finding the Third Proportional to 139.92 and 243.42

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Solution

The third proportional to 139.92 and 243.42 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 243.42 = 243.42 : x
  2. Step 2: Convert to fraction form
    139.92/243.42 = 243.42/x
  3. Step 3: Cross multiply
    139.92x = 243.42 × 243.42
  4. Step 4: Simplify right side
    139.92x = 59,254.21
  5. Step 5: Solve for x
    x = 59,254.21/139.92
  6. Step 6: Final answer
    x = 423.48

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.