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Finding the Third Proportional to 193,450.13 and 217,438.88

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Solution

The third proportional to 193,450.13 and 217,438.88 is: 244,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,450.13 : 217,438.88 = 217,438.88 : x
  2. Step 2: Convert to fraction form
    193,450.13/217,438.88 = 217,438.88/x
  3. Step 3: Cross multiply
    193,450.13x = 217,438.88 × 217,438.88
  4. Step 4: Simplify right side
    193,450.13x = 47,279,664,361.27
  5. Step 5: Solve for x
    x = 47,279,664,361.27/193,450.13
  6. Step 6: Final answer
    x = 244,402.35

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.