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Finding the Third Proportional to 148,344 and 320,016

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Solution

The third proportional to 148,344 and 320,016 is: 690,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,344 : 320,016 = 320,016 : x
  2. Step 2: Convert to fraction form
    148,344/320,016 = 320,016/x
  3. Step 3: Cross multiply
    148,344x = 320,016 × 320,016
  4. Step 4: Simplify right side
    148,344x = 102,410,240,256
  5. Step 5: Solve for x
    x = 102,410,240,256/148,344
  6. Step 6: Final answer
    x = 690,356.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.