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Finding the Third Proportional to 155,976 and 247,938

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Solution

The third proportional to 155,976 and 247,938 is: 394,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976 : 247,938 = 247,938 : x
  2. Step 2: Convert to fraction form
    155,976/247,938 = 247,938/x
  3. Step 3: Cross multiply
    155,976x = 247,938 × 247,938
  4. Step 4: Simplify right side
    155,976x = 61,473,251,844
  5. Step 5: Solve for x
    x = 61,473,251,844/155,976
  6. Step 6: Final answer
    x = 394,119.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.