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Finding the Third Proportional to 147,253.50 and 222,107.50

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Solution

The third proportional to 147,253.50 and 222,107.50 is: 335,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,253.50 : 222,107.50 = 222,107.50 : x
  2. Step 2: Convert to fraction form
    147,253.50/222,107.50 = 222,107.50/x
  3. Step 3: Cross multiply
    147,253.50x = 222,107.50 × 222,107.50
  4. Step 4: Simplify right side
    147,253.50x = 49,331,741,556.25
  5. Step 5: Solve for x
    x = 49,331,741,556.25/147,253.50
  6. Step 6: Final answer
    x = 335,012.35

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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.