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Finding the Third Proportional to 146,496 and 220,134

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Solution

The third proportional to 146,496 and 220,134 is: 330,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,496 : 220,134 = 220,134 : x
  2. Step 2: Convert to fraction form
    146,496/220,134 = 220,134/x
  3. Step 3: Cross multiply
    146,496x = 220,134 × 220,134
  4. Step 4: Simplify right side
    146,496x = 48,458,977,956
  5. Step 5: Solve for x
    x = 48,458,977,956/146,496
  6. Step 6: Final answer
    x = 330,787.04

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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.