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Finding the Third Proportional to 225,232.31 and 303,372.84

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Solution

The third proportional to 225,232.31 and 303,372.84 is: 408,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,232.31 : 303,372.84 = 303,372.84 : x
  2. Step 2: Convert to fraction form
    225,232.31/303,372.84 = 303,372.84/x
  3. Step 3: Cross multiply
    225,232.31x = 303,372.84 × 303,372.84
  4. Step 4: Simplify right side
    225,232.31x = 92,035,082,324.96
  5. Step 5: Solve for x
    x = 92,035,082,324.96/225,232.31
  6. Step 6: Final answer
    x = 408,622.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.