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Finding the Third Proportional to 181,831.50 and 396,711

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Solution

The third proportional to 181,831.50 and 396,711 is: 865,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,831.50 : 396,711 = 396,711 : x
  2. Step 2: Convert to fraction form
    181,831.50/396,711 = 396,711/x
  3. Step 3: Cross multiply
    181,831.50x = 396,711 × 396,711
  4. Step 4: Simplify right side
    181,831.50x = 157,379,617,521
  5. Step 5: Solve for x
    x = 157,379,617,521/181,831.50
  6. Step 6: Final answer
    x = 865,524.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.