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Finding the Third Proportional to 322,112.25 and 425,901.38

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Solution

The third proportional to 322,112.25 and 425,901.38 is: 563,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,112.25 : 425,901.38 = 425,901.38 : x
  2. Step 2: Convert to fraction form
    322,112.25/425,901.38 = 425,901.38/x
  3. Step 3: Cross multiply
    322,112.25x = 425,901.38 × 425,901.38
  4. Step 4: Simplify right side
    322,112.25x = 181,391,981,226.89
  5. Step 5: Solve for x
    x = 181,391,981,226.89/322,112.25
  6. Step 6: Final answer
    x = 563,132.82

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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.