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Finding the Third Proportional to 139.56 and 217.06

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Solution

The third proportional to 139.56 and 217.06 is: 337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.56 : 217.06 = 217.06 : x
  2. Step 2: Convert to fraction form
    139.56/217.06 = 217.06/x
  3. Step 3: Cross multiply
    139.56x = 217.06 × 217.06
  4. Step 4: Simplify right side
    139.56x = 47,116.13
  5. Step 5: Solve for x
    x = 47,116.13/139.56
  6. Step 6: Final answer
    x = 337.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.