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Finding the Third Proportional to 251,118.50 and 378,942

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Solution

The third proportional to 251,118.50 and 378,942 is: 571,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,118.50 : 378,942 = 378,942 : x
  2. Step 2: Convert to fraction form
    251,118.50/378,942 = 378,942/x
  3. Step 3: Cross multiply
    251,118.50x = 378,942 × 378,942
  4. Step 4: Simplify right side
    251,118.50x = 143,597,039,364
  5. Step 5: Solve for x
    x = 143,597,039,364/251,118.50
  6. Step 6: Final answer
    x = 571,829.79

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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.