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Finding the Third Proportional to 147,342 and 222,238.50

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Solution

The third proportional to 147,342 and 222,238.50 is: 335,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,342 : 222,238.50 = 222,238.50 : x
  2. Step 2: Convert to fraction form
    147,342/222,238.50 = 222,238.50/x
  3. Step 3: Cross multiply
    147,342x = 222,238.50 × 222,238.50
  4. Step 4: Simplify right side
    147,342x = 49,389,950,882.25
  5. Step 5: Solve for x
    x = 49,389,950,882.25/147,342
  6. Step 6: Final answer
    x = 335,206.19

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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.