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Finding the Third Proportional to 146,942 and 320,524

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Solution

The third proportional to 146,942 and 320,524 is: 699,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,942 : 320,524 = 320,524 : x
  2. Step 2: Convert to fraction form
    146,942/320,524 = 320,524/x
  3. Step 3: Cross multiply
    146,942x = 320,524 × 320,524
  4. Step 4: Simplify right side
    146,942x = 102,735,634,576
  5. Step 5: Solve for x
    x = 102,735,634,576/146,942
  6. Step 6: Final answer
    x = 699,157.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.