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Finding the Third Proportional to 148,320 and 222,768

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Solution

The third proportional to 148,320 and 222,768 is: 334,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,320 : 222,768 = 222,768 : x
  2. Step 2: Convert to fraction form
    148,320/222,768 = 222,768/x
  3. Step 3: Cross multiply
    148,320x = 222,768 × 222,768
  4. Step 4: Simplify right side
    148,320x = 49,625,581,824
  5. Step 5: Solve for x
    x = 49,625,581,824/148,320
  6. Step 6: Final answer
    x = 334,584.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.