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Finding the Third Proportional to 149,592 and 330,276

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Solution

The third proportional to 149,592 and 330,276 is: 729,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,592 : 330,276 = 330,276 : x
  2. Step 2: Convert to fraction form
    149,592/330,276 = 330,276/x
  3. Step 3: Cross multiply
    149,592x = 330,276 × 330,276
  4. Step 4: Simplify right side
    149,592x = 109,082,236,176
  5. Step 5: Solve for x
    x = 109,082,236,176/149,592
  6. Step 6: Final answer
    x = 729,198.33

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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.