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Finding the Third Proportional to 226,100.25 and 470,805.75

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Solution

The third proportional to 226,100.25 and 470,805.75 is: 980,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100.25 : 470,805.75 = 470,805.75 : x
  2. Step 2: Convert to fraction form
    226,100.25/470,805.75 = 470,805.75/x
  3. Step 3: Cross multiply
    226,100.25x = 470,805.75 × 470,805.75
  4. Step 4: Simplify right side
    226,100.25x = 221,658,054,233.06
  5. Step 5: Solve for x
    x = 221,658,054,233.06/226,100.25
  6. Step 6: Final answer
    x = 980,352.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.