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Finding the Third Proportional to 158,936 and 240,023.75

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Solution

The third proportional to 158,936 and 240,023.75 is: 362,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,936 : 240,023.75 = 240,023.75 : x
  2. Step 2: Convert to fraction form
    158,936/240,023.75 = 240,023.75/x
  3. Step 3: Cross multiply
    158,936x = 240,023.75 × 240,023.75
  4. Step 4: Simplify right side
    158,936x = 57,611,400,564.06
  5. Step 5: Solve for x
    x = 57,611,400,564.06/158,936
  6. Step 6: Final answer
    x = 362,481.76

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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.