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Finding the Third Proportional to 179,875 and 259,867

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Solution

The third proportional to 179,875 and 259,867 is: 375,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,875 : 259,867 = 259,867 : x
  2. Step 2: Convert to fraction form
    179,875/259,867 = 259,867/x
  3. Step 3: Cross multiply
    179,875x = 259,867 × 259,867
  4. Step 4: Simplify right side
    179,875x = 67,530,857,689
  5. Step 5: Solve for x
    x = 67,530,857,689/179,875
  6. Step 6: Final answer
    x = 375,432.15

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Why These Related Problems?

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