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Finding the Third Proportional to 174,917 and 274,989

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Solution

The third proportional to 174,917 and 274,989 is: 432,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,917 : 274,989 = 274,989 : x
  2. Step 2: Convert to fraction form
    174,917/274,989 = 274,989/x
  3. Step 3: Cross multiply
    174,917x = 274,989 × 274,989
  4. Step 4: Simplify right side
    174,917x = 75,618,950,121
  5. Step 5: Solve for x
    x = 75,618,950,121/174,917
  6. Step 6: Final answer
    x = 432,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.