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Finding the Third Proportional to 181,544.06 and 383,866.31

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Solution

The third proportional to 181,544.06 and 383,866.31 is: 811,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544.06 : 383,866.31 = 383,866.31 : x
  2. Step 2: Convert to fraction form
    181,544.06/383,866.31 = 383,866.31/x
  3. Step 3: Cross multiply
    181,544.06x = 383,866.31 × 383,866.31
  4. Step 4: Simplify right side
    181,544.06x = 147,353,345,872.35
  5. Step 5: Solve for x
    x = 147,353,345,872.35/181,544.06
  6. Step 6: Final answer
    x = 811,667.12

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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.