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Finding the Third Proportional to 150,327.75 and 239,712

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Solution

The third proportional to 150,327.75 and 239,712 is: 382,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,327.75 : 239,712 = 239,712 : x
  2. Step 2: Convert to fraction form
    150,327.75/239,712 = 239,712/x
  3. Step 3: Cross multiply
    150,327.75x = 239,712 × 239,712
  4. Step 4: Simplify right side
    150,327.75x = 57,461,842,944
  5. Step 5: Solve for x
    x = 57,461,842,944/150,327.75
  6. Step 6: Final answer
    x = 382,243.75

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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.