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Finding the Third Proportional to 150,116 and 329,757

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Solution

The third proportional to 150,116 and 329,757 is: 724,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,116 : 329,757 = 329,757 : x
  2. Step 2: Convert to fraction form
    150,116/329,757 = 329,757/x
  3. Step 3: Cross multiply
    150,116x = 329,757 × 329,757
  4. Step 4: Simplify right side
    150,116x = 108,739,679,049
  5. Step 5: Solve for x
    x = 108,739,679,049/150,116
  6. Step 6: Final answer
    x = 724,371.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.