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Finding the Third Proportional to 150,619 and 326,033

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Solution

The third proportional to 150,619 and 326,033 is: 705,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,619 : 326,033 = 326,033 : x
  2. Step 2: Convert to fraction form
    150,619/326,033 = 326,033/x
  3. Step 3: Cross multiply
    150,619x = 326,033 × 326,033
  4. Step 4: Simplify right side
    150,619x = 106,297,517,089
  5. Step 5: Solve for x
    x = 106,297,517,089/150,619
  6. Step 6: Final answer
    x = 705,737.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.