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Finding the Third Proportional to 171,157.13 and 365,212.88

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Solution

The third proportional to 171,157.13 and 365,212.88 is: 779,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,157.13 : 365,212.88 = 365,212.88 : x
  2. Step 2: Convert to fraction form
    171,157.13/365,212.88 = 365,212.88/x
  3. Step 3: Cross multiply
    171,157.13x = 365,212.88 × 365,212.88
  4. Step 4: Simplify right side
    171,157.13x = 133,380,444,065.77
  5. Step 5: Solve for x
    x = 133,380,444,065.77/171,157.13
  6. Step 6: Final answer
    x = 779,286.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.