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Finding the Third Proportional to 116.69 and 248.84

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Solution

The third proportional to 116.69 and 248.84 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.69 : 248.84 = 248.84 : x
  2. Step 2: Convert to fraction form
    116.69/248.84 = 248.84/x
  3. Step 3: Cross multiply
    116.69x = 248.84 × 248.84
  4. Step 4: Simplify right side
    116.69x = 61,923.21
  5. Step 5: Solve for x
    x = 61,923.21/116.69
  6. Step 6: Final answer
    x = 530.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.