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Finding the Third Proportional to 150,171 and 326,478

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Solution

The third proportional to 150,171 and 326,478 is: 709,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,171 : 326,478 = 326,478 : x
  2. Step 2: Convert to fraction form
    150,171/326,478 = 326,478/x
  3. Step 3: Cross multiply
    150,171x = 326,478 × 326,478
  4. Step 4: Simplify right side
    150,171x = 106,587,884,484
  5. Step 5: Solve for x
    x = 106,587,884,484/150,171
  6. Step 6: Final answer
    x = 709,776.75

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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.