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Finding the Third Proportional to 146,949 and 219,853

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Solution

The third proportional to 146,949 and 219,853 is: 328,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,949 : 219,853 = 219,853 : x
  2. Step 2: Convert to fraction form
    146,949/219,853 = 219,853/x
  3. Step 3: Cross multiply
    146,949x = 219,853 × 219,853
  4. Step 4: Simplify right side
    146,949x = 48,335,341,609
  5. Step 5: Solve for x
    x = 48,335,341,609/146,949
  6. Step 6: Final answer
    x = 328,925.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.