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Finding the Third Proportional to 161,986 and 239,788.50

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Solution

The third proportional to 161,986 and 239,788.50 is: 354,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,986 : 239,788.50 = 239,788.50 : x
  2. Step 2: Convert to fraction form
    161,986/239,788.50 = 239,788.50/x
  3. Step 3: Cross multiply
    161,986x = 239,788.50 × 239,788.50
  4. Step 4: Simplify right side
    161,986x = 57,498,524,732.25
  5. Step 5: Solve for x
    x = 57,498,524,732.25/161,986
  6. Step 6: Final answer
    x = 354,959.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.