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Finding the Third Proportional to 181,089 and 385,568

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Solution

The third proportional to 181,089 and 385,568 is: 820,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,089 : 385,568 = 385,568 : x
  2. Step 2: Convert to fraction form
    181,089/385,568 = 385,568/x
  3. Step 3: Cross multiply
    181,089x = 385,568 × 385,568
  4. Step 4: Simplify right side
    181,089x = 148,662,682,624
  5. Step 5: Solve for x
    x = 148,662,682,624/181,089
  6. Step 6: Final answer
    x = 820,937.12

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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.