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Finding the Third Proportional to 150,371 and 313,141

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Solution

The third proportional to 150,371 and 313,141 is: 652,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,371 : 313,141 = 313,141 : x
  2. Step 2: Convert to fraction form
    150,371/313,141 = 313,141/x
  3. Step 3: Cross multiply
    150,371x = 313,141 × 313,141
  4. Step 4: Simplify right side
    150,371x = 98,057,285,881
  5. Step 5: Solve for x
    x = 98,057,285,881/150,371
  6. Step 6: Final answer
    x = 652,102.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.