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Finding the Third Proportional to 193,591.42 and 415,207.34

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Solution

The third proportional to 193,591.42 and 415,207.34 is: 890,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,591.42 : 415,207.34 = 415,207.34 : x
  2. Step 2: Convert to fraction form
    193,591.42/415,207.34 = 415,207.34/x
  3. Step 3: Cross multiply
    193,591.42x = 415,207.34 × 415,207.34
  4. Step 4: Simplify right side
    193,591.42x = 172,397,139,114.89
  5. Step 5: Solve for x
    x = 172,397,139,114.89/193,591.42
  6. Step 6: Final answer
    x = 890,520.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.