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Finding the Third Proportional to 226,708 and 352,662

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Solution

The third proportional to 226,708 and 352,662 is: 548,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,708 : 352,662 = 352,662 : x
  2. Step 2: Convert to fraction form
    226,708/352,662 = 352,662/x
  3. Step 3: Cross multiply
    226,708x = 352,662 × 352,662
  4. Step 4: Simplify right side
    226,708x = 124,370,486,244
  5. Step 5: Solve for x
    x = 124,370,486,244/226,708
  6. Step 6: Final answer
    x = 548,593.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.