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Finding the Third Proportional to 151,162 and 329,954

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Solution

The third proportional to 151,162 and 329,954 is: 720,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,162 : 329,954 = 329,954 : x
  2. Step 2: Convert to fraction form
    151,162/329,954 = 329,954/x
  3. Step 3: Cross multiply
    151,162x = 329,954 × 329,954
  4. Step 4: Simplify right side
    151,162x = 108,869,642,116
  5. Step 5: Solve for x
    x = 108,869,642,116/151,162
  6. Step 6: Final answer
    x = 720,218.32

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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.