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Finding the Third Proportional to 150,566.50 and 327,377

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Solution

The third proportional to 150,566.50 and 327,377 is: 711,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566.50 : 327,377 = 327,377 : x
  2. Step 2: Convert to fraction form
    150,566.50/327,377 = 327,377/x
  3. Step 3: Cross multiply
    150,566.50x = 327,377 × 327,377
  4. Step 4: Simplify right side
    150,566.50x = 107,175,700,129
  5. Step 5: Solve for x
    x = 107,175,700,129/150,566.50
  6. Step 6: Final answer
    x = 711,816.37

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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.