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Finding the Third Proportional to 147,467.25 and 222,409.13

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Solution

The third proportional to 147,467.25 and 222,409.13 is: 335,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,467.25 : 222,409.13 = 222,409.13 : x
  2. Step 2: Convert to fraction form
    147,467.25/222,409.13 = 222,409.13/x
  3. Step 3: Cross multiply
    147,467.25x = 222,409.13 × 222,409.13
  4. Step 4: Simplify right side
    147,467.25x = 49,465,818,883.27
  5. Step 5: Solve for x
    x = 49,465,818,883.27/147,467.25
  6. Step 6: Final answer
    x = 335,435.96

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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.