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Finding the Third Proportional to 68,808 and 150,738

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Solution

The third proportional to 68,808 and 150,738 is: 330,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,808 : 150,738 = 150,738 : x
  2. Step 2: Convert to fraction form
    68,808/150,738 = 150,738/x
  3. Step 3: Cross multiply
    68,808x = 150,738 × 150,738
  4. Step 4: Simplify right side
    68,808x = 22,721,944,644
  5. Step 5: Solve for x
    x = 22,721,944,644/68,808
  6. Step 6: Final answer
    x = 330,222.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.