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Finding the Third Proportional to 146,410.50 and 219,039

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Solution

The third proportional to 146,410.50 and 219,039 is: 327,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,410.50 : 219,039 = 219,039 : x
  2. Step 2: Convert to fraction form
    146,410.50/219,039 = 219,039/x
  3. Step 3: Cross multiply
    146,410.50x = 219,039 × 219,039
  4. Step 4: Simplify right side
    146,410.50x = 47,978,083,521
  5. Step 5: Solve for x
    x = 47,978,083,521/146,410.50
  6. Step 6: Final answer
    x = 327,695.65

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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.