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Finding the Third Proportional to 165,750 and 262,875

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Solution

The third proportional to 165,750 and 262,875 is: 416,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,750 : 262,875 = 262,875 : x
  2. Step 2: Convert to fraction form
    165,750/262,875 = 262,875/x
  3. Step 3: Cross multiply
    165,750x = 262,875 × 262,875
  4. Step 4: Simplify right side
    165,750x = 69,103,265,625
  5. Step 5: Solve for x
    x = 69,103,265,625/165,750
  6. Step 6: Final answer
    x = 416,912.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.