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Finding the Third Proportional to 150,352 and 331,808

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Solution

The third proportional to 150,352 and 331,808 is: 732,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,352 : 331,808 = 331,808 : x
  2. Step 2: Convert to fraction form
    150,352/331,808 = 331,808/x
  3. Step 3: Cross multiply
    150,352x = 331,808 × 331,808
  4. Step 4: Simplify right side
    150,352x = 110,096,548,864
  5. Step 5: Solve for x
    x = 110,096,548,864/150,352
  6. Step 6: Final answer
    x = 732,258.63

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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.