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Finding the Third Proportional to 110,927 and 242,846

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Solution

The third proportional to 110,927 and 242,846 is: 531,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,927 : 242,846 = 242,846 : x
  2. Step 2: Convert to fraction form
    110,927/242,846 = 242,846/x
  3. Step 3: Cross multiply
    110,927x = 242,846 × 242,846
  4. Step 4: Simplify right side
    110,927x = 58,974,179,716
  5. Step 5: Solve for x
    x = 58,974,179,716/110,927
  6. Step 6: Final answer
    x = 531,648.56

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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.