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Finding the Third Proportional to 159,718 and 347,764

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Solution

The third proportional to 159,718 and 347,764 is: 757,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,718 : 347,764 = 347,764 : x
  2. Step 2: Convert to fraction form
    159,718/347,764 = 347,764/x
  3. Step 3: Cross multiply
    159,718x = 347,764 × 347,764
  4. Step 4: Simplify right side
    159,718x = 120,939,799,696
  5. Step 5: Solve for x
    x = 120,939,799,696/159,718
  6. Step 6: Final answer
    x = 757,208.33

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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.