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Finding the Third Proportional to 146,579 and 222,785

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Solution

The third proportional to 146,579 and 222,785 is: 338,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,579 : 222,785 = 222,785 : x
  2. Step 2: Convert to fraction form
    146,579/222,785 = 222,785/x
  3. Step 3: Cross multiply
    146,579x = 222,785 × 222,785
  4. Step 4: Simplify right side
    146,579x = 49,633,156,225
  5. Step 5: Solve for x
    x = 49,633,156,225/146,579
  6. Step 6: Final answer
    x = 338,610.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.