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Finding the Third Proportional to 120,031 and 262,660

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Solution

The third proportional to 120,031 and 262,660 is: 574,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,031 : 262,660 = 262,660 : x
  2. Step 2: Convert to fraction form
    120,031/262,660 = 262,660/x
  3. Step 3: Cross multiply
    120,031x = 262,660 × 262,660
  4. Step 4: Simplify right side
    120,031x = 68,990,275,600
  5. Step 5: Solve for x
    x = 68,990,275,600/120,031
  6. Step 6: Final answer
    x = 574,770.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.