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Finding the Third Proportional to 266,501.25 and 352,122.75

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Solution

The third proportional to 266,501.25 and 352,122.75 is: 465,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,501.25 : 352,122.75 = 352,122.75 : x
  2. Step 2: Convert to fraction form
    266,501.25/352,122.75 = 352,122.75/x
  3. Step 3: Cross multiply
    266,501.25x = 352,122.75 × 352,122.75
  4. Step 4: Simplify right side
    266,501.25x = 123,990,431,067.56
  5. Step 5: Solve for x
    x = 123,990,431,067.56/266,501.25
  6. Step 6: Final answer
    x = 465,252.72

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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.