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Finding the Third Proportional to 146,033.06 and 220,998.19

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Solution

The third proportional to 146,033.06 and 220,998.19 is: 334,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,033.06 : 220,998.19 = 220,998.19 : x
  2. Step 2: Convert to fraction form
    146,033.06/220,998.19 = 220,998.19/x
  3. Step 3: Cross multiply
    146,033.06x = 220,998.19 × 220,998.19
  4. Step 4: Simplify right side
    146,033.06x = 48,840,198,878.29
  5. Step 5: Solve for x
    x = 48,840,198,878.29/146,033.06
  6. Step 6: Final answer
    x = 334,446.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.