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Finding the Third Proportional to 103,625 and 230,731

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Solution

The third proportional to 103,625 and 230,731 is: 513,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625 : 230,731 = 230,731 : x
  2. Step 2: Convert to fraction form
    103,625/230,731 = 230,731/x
  3. Step 3: Cross multiply
    103,625x = 230,731 × 230,731
  4. Step 4: Simplify right side
    103,625x = 53,236,794,361
  5. Step 5: Solve for x
    x = 53,236,794,361/103,625
  6. Step 6: Final answer
    x = 513,744.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.