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Finding the Third Proportional to 111,990 and 243,662

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Solution

The third proportional to 111,990 and 243,662 is: 530,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,990 : 243,662 = 243,662 : x
  2. Step 2: Convert to fraction form
    111,990/243,662 = 243,662/x
  3. Step 3: Cross multiply
    111,990x = 243,662 × 243,662
  4. Step 4: Simplify right side
    111,990x = 59,371,170,244
  5. Step 5: Solve for x
    x = 59,371,170,244/111,990
  6. Step 6: Final answer
    x = 530,147.07

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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.