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Finding the Third Proportional to 149,451 and 222,060

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Solution

The third proportional to 149,451 and 222,060 is: 329,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451 : 222,060 = 222,060 : x
  2. Step 2: Convert to fraction form
    149,451/222,060 = 222,060/x
  3. Step 3: Cross multiply
    149,451x = 222,060 × 222,060
  4. Step 4: Simplify right side
    149,451x = 49,310,643,600
  5. Step 5: Solve for x
    x = 49,310,643,600/149,451
  6. Step 6: Final answer
    x = 329,945.22

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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.