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Finding the Third Proportional to 266,496.75 and 352,117.13

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Solution

The third proportional to 266,496.75 and 352,117.13 is: 465,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,496.75 : 352,117.13 = 352,117.13 : x
  2. Step 2: Convert to fraction form
    266,496.75/352,117.13 = 352,117.13/x
  3. Step 3: Cross multiply
    266,496.75x = 352,117.13 × 352,117.13
  4. Step 4: Simplify right side
    266,496.75x = 123,986,469,718.27
  5. Step 5: Solve for x
    x = 123,986,469,718.27/266,496.75
  6. Step 6: Final answer
    x = 465,245.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.