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Finding the Third Proportional to 146,521 and 219,741

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Solution

The third proportional to 146,521 and 219,741 is: 329,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,521 : 219,741 = 219,741 : x
  2. Step 2: Convert to fraction form
    146,521/219,741 = 219,741/x
  3. Step 3: Cross multiply
    146,521x = 219,741 × 219,741
  4. Step 4: Simplify right side
    146,521x = 48,286,107,081
  5. Step 5: Solve for x
    x = 48,286,107,081/146,521
  6. Step 6: Final answer
    x = 329,550.76

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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.