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Finding the Third Proportional to 159,765 and 347,718

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Solution

The third proportional to 159,765 and 347,718 is: 756,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,765 : 347,718 = 347,718 : x
  2. Step 2: Convert to fraction form
    159,765/347,718 = 347,718/x
  3. Step 3: Cross multiply
    159,765x = 347,718 × 347,718
  4. Step 4: Simplify right side
    159,765x = 120,907,807,524
  5. Step 5: Solve for x
    x = 120,907,807,524/159,765
  6. Step 6: Final answer
    x = 756,785.33

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Why These Related Problems?

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