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Finding the Third Proportional to 181,766.50 and 386,861

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Solution

The third proportional to 181,766.50 and 386,861 is: 823,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,766.50 : 386,861 = 386,861 : x
  2. Step 2: Convert to fraction form
    181,766.50/386,861 = 386,861/x
  3. Step 3: Cross multiply
    181,766.50x = 386,861 × 386,861
  4. Step 4: Simplify right side
    181,766.50x = 149,661,433,321
  5. Step 5: Solve for x
    x = 149,661,433,321/181,766.50
  6. Step 6: Final answer
    x = 823,371.93

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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.