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Finding the Third Proportional to 151,962 and 329,682

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Solution

The third proportional to 151,962 and 329,682 is: 715,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,962 : 329,682 = 329,682 : x
  2. Step 2: Convert to fraction form
    151,962/329,682 = 329,682/x
  3. Step 3: Cross multiply
    151,962x = 329,682 × 329,682
  4. Step 4: Simplify right side
    151,962x = 108,690,221,124
  5. Step 5: Solve for x
    x = 108,690,221,124/151,962
  6. Step 6: Final answer
    x = 715,246.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.