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Finding the Third Proportional to 193,768.50 and 415,565.25

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Solution

The third proportional to 193,768.50 and 415,565.25 is: 891,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,768.50 : 415,565.25 = 415,565.25 : x
  2. Step 2: Convert to fraction form
    193,768.50/415,565.25 = 415,565.25/x
  3. Step 3: Cross multiply
    193,768.50x = 415,565.25 × 415,565.25
  4. Step 4: Simplify right side
    193,768.50x = 172,694,477,007.56
  5. Step 5: Solve for x
    x = 172,694,477,007.56/193,768.50
  6. Step 6: Final answer
    x = 891,241.23

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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.