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Finding the Third Proportional to 171,774 and 259,544.25

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Solution

The third proportional to 171,774 and 259,544.25 is: 392,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,774 : 259,544.25 = 259,544.25 : x
  2. Step 2: Convert to fraction form
    171,774/259,544.25 = 259,544.25/x
  3. Step 3: Cross multiply
    171,774x = 259,544.25 × 259,544.25
  4. Step 4: Simplify right side
    171,774x = 67,363,217,708.06
  5. Step 5: Solve for x
    x = 67,363,217,708.06/171,774
  6. Step 6: Final answer
    x = 392,161.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.