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Finding the Third Proportional to 138,066 and 332,523

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Solution

The third proportional to 138,066 and 332,523 is: 800,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,066 : 332,523 = 332,523 : x
  2. Step 2: Convert to fraction form
    138,066/332,523 = 332,523/x
  3. Step 3: Cross multiply
    138,066x = 332,523 × 332,523
  4. Step 4: Simplify right side
    138,066x = 110,571,545,529
  5. Step 5: Solve for x
    x = 110,571,545,529/138,066
  6. Step 6: Final answer
    x = 800,860.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.