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Finding the Third Proportional to 150,038 and 325,836

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Solution

The third proportional to 150,038 and 325,836 is: 707,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,038 : 325,836 = 325,836 : x
  2. Step 2: Convert to fraction form
    150,038/325,836 = 325,836/x
  3. Step 3: Cross multiply
    150,038x = 325,836 × 325,836
  4. Step 4: Simplify right side
    150,038x = 106,169,098,896
  5. Step 5: Solve for x
    x = 106,169,098,896/150,038
  6. Step 6: Final answer
    x = 707,614.73

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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.