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Finding the Third Proportional to 139.88 and 315.94

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Solution

The third proportional to 139.88 and 315.94 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 315.94 = 315.94 : x
  2. Step 2: Convert to fraction form
    139.88/315.94 = 315.94/x
  3. Step 3: Cross multiply
    139.88x = 315.94 × 315.94
  4. Step 4: Simplify right side
    139.88x = 99,816.50
  5. Step 5: Solve for x
    x = 99,816.50/139.88
  6. Step 6: Final answer
    x = 713.61

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.