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Finding the Third Proportional to 105,777 and 230,847

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Solution

The third proportional to 105,777 and 230,847 is: 503,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,777 : 230,847 = 230,847 : x
  2. Step 2: Convert to fraction form
    105,777/230,847 = 230,847/x
  3. Step 3: Cross multiply
    105,777x = 230,847 × 230,847
  4. Step 4: Simplify right side
    105,777x = 53,290,337,409
  5. Step 5: Solve for x
    x = 53,290,337,409/105,777
  6. Step 6: Final answer
    x = 503,798.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.