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Finding the Third Proportional to 110,958 and 242,675

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Solution

The third proportional to 110,958 and 242,675 is: 530,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,958 : 242,675 = 242,675 : x
  2. Step 2: Convert to fraction form
    110,958/242,675 = 242,675/x
  3. Step 3: Cross multiply
    110,958x = 242,675 × 242,675
  4. Step 4: Simplify right side
    110,958x = 58,891,155,625
  5. Step 5: Solve for x
    x = 58,891,155,625/110,958
  6. Step 6: Final answer
    x = 530,751.78

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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.