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Finding the Third Proportional to 146,442 and 219,084

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Solution

The third proportional to 146,442 and 219,084 is: 327,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442 : 219,084 = 219,084 : x
  2. Step 2: Convert to fraction form
    146,442/219,084 = 219,084/x
  3. Step 3: Cross multiply
    146,442x = 219,084 × 219,084
  4. Step 4: Simplify right side
    146,442x = 47,997,799,056
  5. Step 5: Solve for x
    x = 47,997,799,056/146,442
  6. Step 6: Final answer
    x = 327,759.79

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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.