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Finding the Third Proportional to 159,950 and 347,022

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Solution

The third proportional to 159,950 and 347,022 is: 752,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,950 : 347,022 = 347,022 : x
  2. Step 2: Convert to fraction form
    159,950/347,022 = 347,022/x
  3. Step 3: Cross multiply
    159,950x = 347,022 × 347,022
  4. Step 4: Simplify right side
    159,950x = 120,424,268,484
  5. Step 5: Solve for x
    x = 120,424,268,484/159,950
  6. Step 6: Final answer
    x = 752,886.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.