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Finding the Third Proportional to 100,264 and 222,943

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Solution

The third proportional to 100,264 and 222,943 is: 495,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264 : 222,943 = 222,943 : x
  2. Step 2: Convert to fraction form
    100,264/222,943 = 222,943/x
  3. Step 3: Cross multiply
    100,264x = 222,943 × 222,943
  4. Step 4: Simplify right side
    100,264x = 49,703,581,249
  5. Step 5: Solve for x
    x = 49,703,581,249/100,264
  6. Step 6: Final answer
    x = 495,727.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.