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Finding the Third Proportional to 117.07 and 249.96

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Solution

The third proportional to 117.07 and 249.96 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 249.96 = 249.96 : x
  2. Step 2: Convert to fraction form
    117.07/249.96 = 249.96/x
  3. Step 3: Cross multiply
    117.07x = 249.96 × 249.96
  4. Step 4: Simplify right side
    117.07x = 62,480.47
  5. Step 5: Solve for x
    x = 62,480.47/117.07
  6. Step 6: Final answer
    x = 533.70

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