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Finding the Third Proportional to 150,358 and 331,820

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Solution

The third proportional to 150,358 and 331,820 is: 732,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,358 : 331,820 = 331,820 : x
  2. Step 2: Convert to fraction form
    150,358/331,820 = 331,820/x
  3. Step 3: Cross multiply
    150,358x = 331,820 × 331,820
  4. Step 4: Simplify right side
    150,358x = 110,104,512,400
  5. Step 5: Solve for x
    x = 110,104,512,400/150,358
  6. Step 6: Final answer
    x = 732,282.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.