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Finding the Third Proportional to 150,724 and 327,368

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Solution

The third proportional to 150,724 and 327,368 is: 711,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,724 : 327,368 = 327,368 : x
  2. Step 2: Convert to fraction form
    150,724/327,368 = 327,368/x
  3. Step 3: Cross multiply
    150,724x = 327,368 × 327,368
  4. Step 4: Simplify right side
    150,724x = 107,169,807,424
  5. Step 5: Solve for x
    x = 107,169,807,424/150,724
  6. Step 6: Final answer
    x = 711,033.46

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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.