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Finding the Third Proportional to 150,460 and 330,440

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Solution

The third proportional to 150,460 and 330,440 is: 725,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460 : 330,440 = 330,440 : x
  2. Step 2: Convert to fraction form
    150,460/330,440 = 330,440/x
  3. Step 3: Cross multiply
    150,460x = 330,440 × 330,440
  4. Step 4: Simplify right side
    150,460x = 109,190,593,600
  5. Step 5: Solve for x
    x = 109,190,593,600/150,460
  6. Step 6: Final answer
    x = 725,711.77

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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.