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Finding the Third Proportional to 244,666 and 378,131

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Solution

The third proportional to 244,666 and 378,131 is: 584,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,666 : 378,131 = 378,131 : x
  2. Step 2: Convert to fraction form
    244,666/378,131 = 378,131/x
  3. Step 3: Cross multiply
    244,666x = 378,131 × 378,131
  4. Step 4: Simplify right side
    244,666x = 142,983,053,161
  5. Step 5: Solve for x
    x = 142,983,053,161/244,666
  6. Step 6: Final answer
    x = 584,400.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.