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Finding the Third Proportional to 229.68 and 500.66

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Solution

The third proportional to 229.68 and 500.66 is: 1,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 500.66 = 500.66 : x
  2. Step 2: Convert to fraction form
    229.68/500.66 = 500.66/x
  3. Step 3: Cross multiply
    229.68x = 500.66 × 500.66
  4. Step 4: Simplify right side
    229.68x = 250,660.59
  5. Step 5: Solve for x
    x = 250,660.59/229.68
  6. Step 6: Final answer
    x = 1,091.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.