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Finding the Third Proportional to 222,825 and 345,180

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Solution

The third proportional to 222,825 and 345,180 is: 534,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,825 : 345,180 = 345,180 : x
  2. Step 2: Convert to fraction form
    222,825/345,180 = 345,180/x
  3. Step 3: Cross multiply
    222,825x = 345,180 × 345,180
  4. Step 4: Simplify right side
    222,825x = 119,149,232,400
  5. Step 5: Solve for x
    x = 119,149,232,400/222,825
  6. Step 6: Final answer
    x = 534,721.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.