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Finding the Third Proportional to 147,853.69 and 222,768.56

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Solution

The third proportional to 147,853.69 and 222,768.56 is: 335,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,853.69 : 222,768.56 = 222,768.56 : x
  2. Step 2: Convert to fraction form
    147,853.69/222,768.56 = 222,768.56/x
  3. Step 3: Cross multiply
    147,853.69x = 222,768.56 × 222,768.56
  4. Step 4: Simplify right side
    147,853.69x = 49,625,832,438.32
  5. Step 5: Solve for x
    x = 49,625,832,438.32/147,853.69
  6. Step 6: Final answer
    x = 335,641.49

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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.