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Finding the Third Proportional to 222,757.50 and 295,378.50

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Solution

The third proportional to 222,757.50 and 295,378.50 is: 391,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,757.50 : 295,378.50 = 295,378.50 : x
  2. Step 2: Convert to fraction form
    222,757.50/295,378.50 = 295,378.50/x
  3. Step 3: Cross multiply
    222,757.50x = 295,378.50 × 295,378.50
  4. Step 4: Simplify right side
    222,757.50x = 87,248,458,262.25
  5. Step 5: Solve for x
    x = 87,248,458,262.25/222,757.50
  6. Step 6: Final answer
    x = 391,674.62

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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.