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Finding the Third Proportional to 146,206.25 and 220,389.38

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Solution

The third proportional to 146,206.25 and 220,389.38 is: 332,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206.25 : 220,389.38 = 220,389.38 : x
  2. Step 2: Convert to fraction form
    146,206.25/220,389.38 = 220,389.38/x
  3. Step 3: Cross multiply
    146,206.25x = 220,389.38 × 220,389.38
  4. Step 4: Simplify right side
    146,206.25x = 48,571,476,612.89
  5. Step 5: Solve for x
    x = 48,571,476,612.89/146,206.25
  6. Step 6: Final answer
    x = 332,212.04

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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.