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Finding the Third Proportional to 149,708.25 and 238,086

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Solution

The third proportional to 149,708.25 and 238,086 is: 378,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,708.25 : 238,086 = 238,086 : x
  2. Step 2: Convert to fraction form
    149,708.25/238,086 = 238,086/x
  3. Step 3: Cross multiply
    149,708.25x = 238,086 × 238,086
  4. Step 4: Simplify right side
    149,708.25x = 56,684,943,396
  5. Step 5: Solve for x
    x = 56,684,943,396/149,708.25
  6. Step 6: Final answer
    x = 378,636.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.