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Finding the Third Proportional to 181,586 and 300,099

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Solution

The third proportional to 181,586 and 300,099 is: 495,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,586 : 300,099 = 300,099 : x
  2. Step 2: Convert to fraction form
    181,586/300,099 = 300,099/x
  3. Step 3: Cross multiply
    181,586x = 300,099 × 300,099
  4. Step 4: Simplify right side
    181,586x = 90,059,409,801
  5. Step 5: Solve for x
    x = 90,059,409,801/181,586
  6. Step 6: Final answer
    x = 495,960.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.