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Finding the Third Proportional to 150,738 and 329,724

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Solution

The third proportional to 150,738 and 329,724 is: 721,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,738 : 329,724 = 329,724 : x
  2. Step 2: Convert to fraction form
    150,738/329,724 = 329,724/x
  3. Step 3: Cross multiply
    150,738x = 329,724 × 329,724
  4. Step 4: Simplify right side
    150,738x = 108,717,916,176
  5. Step 5: Solve for x
    x = 108,717,916,176/150,738
  6. Step 6: Final answer
    x = 721,237.62

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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.