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Finding the Third Proportional to 222,751.69 and 295,371.56

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Solution

The third proportional to 222,751.69 and 295,371.56 is: 391,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,751.69 : 295,371.56 = 295,371.56 : x
  2. Step 2: Convert to fraction form
    222,751.69/295,371.56 = 295,371.56/x
  3. Step 3: Cross multiply
    222,751.69x = 295,371.56 × 295,371.56
  4. Step 4: Simplify right side
    222,751.69x = 87,244,359,933.69
  5. Step 5: Solve for x
    x = 87,244,359,933.69/222,751.69
  6. Step 6: Final answer
    x = 391,666.44

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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.