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Finding the Third Proportional to 149,418 and 222,010

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Solution

The third proportional to 149,418 and 222,010 is: 329,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,418 : 222,010 = 222,010 : x
  2. Step 2: Convert to fraction form
    149,418/222,010 = 222,010/x
  3. Step 3: Cross multiply
    149,418x = 222,010 × 222,010
  4. Step 4: Simplify right side
    149,418x = 49,288,440,100
  5. Step 5: Solve for x
    x = 49,288,440,100/149,418
  6. Step 6: Final answer
    x = 329,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.