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Finding the Third Proportional to 146,610 and 222,831

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Solution

The third proportional to 146,610 and 222,831 is: 338,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,610 : 222,831 = 222,831 : x
  2. Step 2: Convert to fraction form
    146,610/222,831 = 222,831/x
  3. Step 3: Cross multiply
    146,610x = 222,831 × 222,831
  4. Step 4: Simplify right side
    146,610x = 49,653,654,561
  5. Step 5: Solve for x
    x = 49,653,654,561/146,610
  6. Step 6: Final answer
    x = 338,678.50

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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.