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Finding the Third Proportional to 171,974.25 and 247,707

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Solution

The third proportional to 171,974.25 and 247,707 is: 356,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974.25 : 247,707 = 247,707 : x
  2. Step 2: Convert to fraction form
    171,974.25/247,707 = 247,707/x
  3. Step 3: Cross multiply
    171,974.25x = 247,707 × 247,707
  4. Step 4: Simplify right side
    171,974.25x = 61,358,757,849
  5. Step 5: Solve for x
    x = 61,358,757,849/171,974.25
  6. Step 6: Final answer
    x = 356,790.38

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.