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Finding the Third Proportional to 149,452.50 and 222,061.50

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Solution

The third proportional to 149,452.50 and 222,061.50 is: 329,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,452.50 : 222,061.50 = 222,061.50 : x
  2. Step 2: Convert to fraction form
    149,452.50/222,061.50 = 222,061.50/x
  3. Step 3: Cross multiply
    149,452.50x = 222,061.50 × 222,061.50
  4. Step 4: Simplify right side
    149,452.50x = 49,311,309,782.25
  5. Step 5: Solve for x
    x = 49,311,309,782.25/149,452.50
  6. Step 6: Final answer
    x = 329,946.37

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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.