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Finding the Third Proportional to 251,649.91 and 381,139.80

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Solution

The third proportional to 251,649.91 and 381,139.80 is: 577,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,649.91 : 381,139.80 = 381,139.80 : x
  2. Step 2: Convert to fraction form
    251,649.91/381,139.80 = 381,139.80/x
  3. Step 3: Cross multiply
    251,649.91x = 381,139.80 × 381,139.80
  4. Step 4: Simplify right side
    251,649.91x = 145,267,550,717.23
  5. Step 5: Solve for x
    x = 145,267,550,717.23/251,649.91
  6. Step 6: Final answer
    x = 577,260.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.