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Finding the Third Proportional to 150,160 and 329,852

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Solution

The third proportional to 150,160 and 329,852 is: 724,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,160 : 329,852 = 329,852 : x
  2. Step 2: Convert to fraction form
    150,160/329,852 = 329,852/x
  3. Step 3: Cross multiply
    150,160x = 329,852 × 329,852
  4. Step 4: Simplify right side
    150,160x = 108,802,341,904
  5. Step 5: Solve for x
    x = 108,802,341,904/150,160
  6. Step 6: Final answer
    x = 724,576.06

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