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Finding the Third Proportional to 226,821 and 352,786.50

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Solution

The third proportional to 226,821 and 352,786.50 is: 548,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,821 : 352,786.50 = 352,786.50 : x
  2. Step 2: Convert to fraction form
    226,821/352,786.50 = 352,786.50/x
  3. Step 3: Cross multiply
    226,821x = 352,786.50 × 352,786.50
  4. Step 4: Simplify right side
    226,821x = 124,458,314,582.25
  5. Step 5: Solve for x
    x = 124,458,314,582.25/226,821
  6. Step 6: Final answer
    x = 548,707.19

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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.