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Finding the Third Proportional to 117.70 and 251.86

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Solution

The third proportional to 117.70 and 251.86 is: 538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 251.86 = 251.86 : x
  2. Step 2: Convert to fraction form
    117.70/251.86 = 251.86/x
  3. Step 3: Cross multiply
    117.70x = 251.86 × 251.86
  4. Step 4: Simplify right side
    117.70x = 63,433.14
  5. Step 5: Solve for x
    x = 63,433.14/117.70
  6. Step 6: Final answer
    x = 538.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.