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Finding the Third Proportional to 120,031 and 261,661

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Solution

The third proportional to 120,031 and 261,661 is: 570,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,031 : 261,661 = 261,661 : x
  2. Step 2: Convert to fraction form
    120,031/261,661 = 261,661/x
  3. Step 3: Cross multiply
    120,031x = 261,661 × 261,661
  4. Step 4: Simplify right side
    120,031x = 68,466,478,921
  5. Step 5: Solve for x
    x = 68,466,478,921/120,031
  6. Step 6: Final answer
    x = 570,406.64

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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.