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Finding the Third Proportional to 158,048 and 240,144

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Solution

The third proportional to 158,048 and 240,144 is: 364,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,048 : 240,144 = 240,144 : x
  2. Step 2: Convert to fraction form
    158,048/240,144 = 240,144/x
  3. Step 3: Cross multiply
    158,048x = 240,144 × 240,144
  4. Step 4: Simplify right side
    158,048x = 57,669,140,736
  5. Step 5: Solve for x
    x = 57,669,140,736/158,048
  6. Step 6: Final answer
    x = 364,883.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.