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Finding the Third Proportional to 181,867.50 and 395,217

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Solution

The third proportional to 181,867.50 and 395,217 is: 858,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,867.50 : 395,217 = 395,217 : x
  2. Step 2: Convert to fraction form
    181,867.50/395,217 = 395,217/x
  3. Step 3: Cross multiply
    181,867.50x = 395,217 × 395,217
  4. Step 4: Simplify right side
    181,867.50x = 156,196,477,089
  5. Step 5: Solve for x
    x = 156,196,477,089/181,867.50
  6. Step 6: Final answer
    x = 858,847.66

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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.