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Finding the Third Proportional to 222,759 and 295,380

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Solution

The third proportional to 222,759 and 295,380 is: 391,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,759 : 295,380 = 295,380 : x
  2. Step 2: Convert to fraction form
    222,759/295,380 = 295,380/x
  3. Step 3: Cross multiply
    222,759x = 295,380 × 295,380
  4. Step 4: Simplify right side
    222,759x = 87,249,344,400
  5. Step 5: Solve for x
    x = 87,249,344,400/222,759
  6. Step 6: Final answer
    x = 391,675.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.