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Finding the Third Proportional to 150,174 and 326,484

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Solution

The third proportional to 150,174 and 326,484 is: 709,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174 : 326,484 = 326,484 : x
  2. Step 2: Convert to fraction form
    150,174/326,484 = 326,484/x
  3. Step 3: Cross multiply
    150,174x = 326,484 × 326,484
  4. Step 4: Simplify right side
    150,174x = 106,591,802,256
  5. Step 5: Solve for x
    x = 106,591,802,256/150,174
  6. Step 6: Final answer
    x = 709,788.66

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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.