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Finding the Third Proportional to 181,551.38 and 383,865.75

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Solution

The third proportional to 181,551.38 and 383,865.75 is: 811,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,551.38 : 383,865.75 = 383,865.75 : x
  2. Step 2: Convert to fraction form
    181,551.38/383,865.75 = 383,865.75/x
  3. Step 3: Cross multiply
    181,551.38x = 383,865.75 × 383,865.75
  4. Step 4: Simplify right side
    181,551.38x = 147,352,914,023.06
  5. Step 5: Solve for x
    x = 147,352,914,023.06/181,551.38
  6. Step 6: Final answer
    x = 811,632.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.