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Finding the Third Proportional to 146,620.13 and 222,572.81

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Solution

The third proportional to 146,620.13 and 222,572.81 is: 337,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,620.13 : 222,572.81 = 222,572.81 : x
  2. Step 2: Convert to fraction form
    146,620.13/222,572.81 = 222,572.81/x
  3. Step 3: Cross multiply
    146,620.13x = 222,572.81 × 222,572.81
  4. Step 4: Simplify right side
    146,620.13x = 49,538,656,864.16
  5. Step 5: Solve for x
    x = 49,538,656,864.16/146,620.13
  6. Step 6: Final answer
    x = 337,870.79

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