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Finding the Third Proportional to 193,174.88 and 418,506.75

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Solution

The third proportional to 193,174.88 and 418,506.75 is: 906,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,174.88 : 418,506.75 = 418,506.75 : x
  2. Step 2: Convert to fraction form
    193,174.88/418,506.75 = 418,506.75/x
  3. Step 3: Cross multiply
    193,174.88x = 418,506.75 × 418,506.75
  4. Step 4: Simplify right side
    193,174.88x = 175,147,899,795.56
  5. Step 5: Solve for x
    x = 175,147,899,795.56/193,174.88
  6. Step 6: Final answer
    x = 906,680.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.