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Finding the Third Proportional to 100,218 and 233,049

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Solution

The third proportional to 100,218 and 233,049 is: 541,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218 : 233,049 = 233,049 : x
  2. Step 2: Convert to fraction form
    100,218/233,049 = 233,049/x
  3. Step 3: Cross multiply
    100,218x = 233,049 × 233,049
  4. Step 4: Simplify right side
    100,218x = 54,311,836,401
  5. Step 5: Solve for x
    x = 54,311,836,401/100,218
  6. Step 6: Final answer
    x = 541,936.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.