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Finding the Third Proportional to 181,566 and 261,918

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Solution

The third proportional to 181,566 and 261,918 is: 377,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566 : 261,918 = 261,918 : x
  2. Step 2: Convert to fraction form
    181,566/261,918 = 261,918/x
  3. Step 3: Cross multiply
    181,566x = 261,918 × 261,918
  4. Step 4: Simplify right side
    181,566x = 68,601,038,724
  5. Step 5: Solve for x
    x = 68,601,038,724/181,566
  6. Step 6: Final answer
    x = 377,829.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.