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Finding the Third Proportional to 152,736 and 327,504

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Solution

The third proportional to 152,736 and 327,504 is: 702,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,736 : 327,504 = 327,504 : x
  2. Step 2: Convert to fraction form
    152,736/327,504 = 327,504/x
  3. Step 3: Cross multiply
    152,736x = 327,504 × 327,504
  4. Step 4: Simplify right side
    152,736x = 107,258,870,016
  5. Step 5: Solve for x
    x = 107,258,870,016/152,736
  6. Step 6: Final answer
    x = 702,250.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.