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Finding the Third Proportional to 221,214 and 244,588

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Solution

The third proportional to 221,214 and 244,588 is: 270,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,214 : 244,588 = 244,588 : x
  2. Step 2: Convert to fraction form
    221,214/244,588 = 244,588/x
  3. Step 3: Cross multiply
    221,214x = 244,588 × 244,588
  4. Step 4: Simplify right side
    221,214x = 59,823,289,744
  5. Step 5: Solve for x
    x = 59,823,289,744/221,214
  6. Step 6: Final answer
    x = 270,431.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.