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Finding the Third Proportional to 139.92 and 315.42

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Solution

The third proportional to 139.92 and 315.42 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 315.42 = 315.42 : x
  2. Step 2: Convert to fraction form
    139.92/315.42 = 315.42/x
  3. Step 3: Cross multiply
    139.92x = 315.42 × 315.42
  4. Step 4: Simplify right side
    139.92x = 99,490.96
  5. Step 5: Solve for x
    x = 99,490.96/139.92
  6. Step 6: Final answer
    x = 711.05

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.