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Finding the Third Proportional to 150,582 and 327,405

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Solution

The third proportional to 150,582 and 327,405 is: 711,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,582 : 327,405 = 327,405 : x
  2. Step 2: Convert to fraction form
    150,582/327,405 = 327,405/x
  3. Step 3: Cross multiply
    150,582x = 327,405 × 327,405
  4. Step 4: Simplify right side
    150,582x = 107,194,034,025
  5. Step 5: Solve for x
    x = 107,194,034,025/150,582
  6. Step 6: Final answer
    x = 711,864.86

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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.