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Finding the Third Proportional to 150,885 and 327,730

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Solution

The third proportional to 150,885 and 327,730 is: 711,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,885 : 327,730 = 327,730 : x
  2. Step 2: Convert to fraction form
    150,885/327,730 = 327,730/x
  3. Step 3: Cross multiply
    150,885x = 327,730 × 327,730
  4. Step 4: Simplify right side
    150,885x = 107,406,952,900
  5. Step 5: Solve for x
    x = 107,406,952,900/150,885
  6. Step 6: Final answer
    x = 711,846.46

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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.