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Finding the Third Proportional to 222,742 and 324,043

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Solution

The third proportional to 222,742 and 324,043 is: 471,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,742 : 324,043 = 324,043 : x
  2. Step 2: Convert to fraction form
    222,742/324,043 = 324,043/x
  3. Step 3: Cross multiply
    222,742x = 324,043 × 324,043
  4. Step 4: Simplify right side
    222,742x = 105,003,865,849
  5. Step 5: Solve for x
    x = 105,003,865,849/222,742
  6. Step 6: Final answer
    x = 471,414.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.