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Finding the Third Proportional to 146,967.19 and 219,879.56

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Solution

The third proportional to 146,967.19 and 219,879.56 is: 328,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,967.19 : 219,879.56 = 219,879.56 : x
  2. Step 2: Convert to fraction form
    146,967.19/219,879.56 = 219,879.56/x
  3. Step 3: Cross multiply
    146,967.19x = 219,879.56 × 219,879.56
  4. Step 4: Simplify right side
    146,967.19x = 48,347,022,005.19
  5. Step 5: Solve for x
    x = 48,347,022,005.19/146,967.19
  6. Step 6: Final answer
    x = 328,964.74

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Why These Related Problems?

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