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Finding the Third Proportional to 120,593 and 262,614

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Solution

The third proportional to 120,593 and 262,614 is: 571,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,593 : 262,614 = 262,614 : x
  2. Step 2: Convert to fraction form
    120,593/262,614 = 262,614/x
  3. Step 3: Cross multiply
    120,593x = 262,614 × 262,614
  4. Step 4: Simplify right side
    120,593x = 68,966,112,996
  5. Step 5: Solve for x
    x = 68,966,112,996/120,593
  6. Step 6: Final answer
    x = 571,891.51

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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.