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Finding the Third Proportional to 111,219 and 242,850

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Solution

The third proportional to 111,219 and 242,850 is: 530,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,219 : 242,850 = 242,850 : x
  2. Step 2: Convert to fraction form
    111,219/242,850 = 242,850/x
  3. Step 3: Cross multiply
    111,219x = 242,850 × 242,850
  4. Step 4: Simplify right side
    111,219x = 58,976,122,500
  5. Step 5: Solve for x
    x = 58,976,122,500/111,219
  6. Step 6: Final answer
    x = 530,270.21

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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.