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Finding the Third Proportional to 147,469.50 and 222,412.50

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Solution

The third proportional to 147,469.50 and 222,412.50 is: 335,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,469.50 : 222,412.50 = 222,412.50 : x
  2. Step 2: Convert to fraction form
    147,469.50/222,412.50 = 222,412.50/x
  3. Step 3: Cross multiply
    147,469.50x = 222,412.50 × 222,412.50
  4. Step 4: Simplify right side
    147,469.50x = 49,467,320,156.25
  5. Step 5: Solve for x
    x = 49,467,320,156.25/147,469.50
  6. Step 6: Final answer
    x = 335,441.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.