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Finding the Third Proportional to 120,967 and 242,420

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Solution

The third proportional to 120,967 and 242,420 is: 485,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,967 : 242,420 = 242,420 : x
  2. Step 2: Convert to fraction form
    120,967/242,420 = 242,420/x
  3. Step 3: Cross multiply
    120,967x = 242,420 × 242,420
  4. Step 4: Simplify right side
    120,967x = 58,767,456,400
  5. Step 5: Solve for x
    x = 58,767,456,400/120,967
  6. Step 6: Final answer
    x = 485,813.95

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.