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Finding the Third Proportional to 155,974.50 and 247,934.25

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Solution

The third proportional to 155,974.50 and 247,934.25 is: 394,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,974.50 : 247,934.25 = 247,934.25 : x
  2. Step 2: Convert to fraction form
    155,974.50/247,934.25 = 247,934.25/x
  3. Step 3: Cross multiply
    155,974.50x = 247,934.25 × 247,934.25
  4. Step 4: Simplify right side
    155,974.50x = 61,471,392,323.06
  5. Step 5: Solve for x
    x = 61,471,392,323.06/155,974.50
  6. Step 6: Final answer
    x = 394,111.81

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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.