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Finding the Third Proportional to 150,392 and 330,532

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Solution

The third proportional to 150,392 and 330,532 is: 726,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,392 : 330,532 = 330,532 : x
  2. Step 2: Convert to fraction form
    150,392/330,532 = 330,532/x
  3. Step 3: Cross multiply
    150,392x = 330,532 × 330,532
  4. Step 4: Simplify right side
    150,392x = 109,251,403,024
  5. Step 5: Solve for x
    x = 109,251,403,024/150,392
  6. Step 6: Final answer
    x = 726,444.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.