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Finding the Third Proportional to 219,376 and 331,764

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Solution

The third proportional to 219,376 and 331,764 is: 501,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,376 : 331,764 = 331,764 : x
  2. Step 2: Convert to fraction form
    219,376/331,764 = 331,764/x
  3. Step 3: Cross multiply
    219,376x = 331,764 × 331,764
  4. Step 4: Simplify right side
    219,376x = 110,067,351,696
  5. Step 5: Solve for x
    x = 110,067,351,696/219,376
  6. Step 6: Final answer
    x = 501,729.23

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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.