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Finding the Third Proportional to 101,593 and 233,649

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Solution

The third proportional to 101,593 and 233,649 is: 537,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,593 : 233,649 = 233,649 : x
  2. Step 2: Convert to fraction form
    101,593/233,649 = 233,649/x
  3. Step 3: Cross multiply
    101,593x = 233,649 × 233,649
  4. Step 4: Simplify right side
    101,593x = 54,591,855,201
  5. Step 5: Solve for x
    x = 54,591,855,201/101,593
  6. Step 6: Final answer
    x = 537,358.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.