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Finding the Third Proportional to 150,342 and 330,444

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Solution

The third proportional to 150,342 and 330,444 is: 726,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342 : 330,444 = 330,444 : x
  2. Step 2: Convert to fraction form
    150,342/330,444 = 330,444/x
  3. Step 3: Cross multiply
    150,342x = 330,444 × 330,444
  4. Step 4: Simplify right side
    150,342x = 109,193,237,136
  5. Step 5: Solve for x
    x = 109,193,237,136/150,342
  6. Step 6: Final answer
    x = 726,298.95

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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.