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Finding the Third Proportional to 150,743 and 313,888

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Solution

The third proportional to 150,743 and 313,888 is: 653,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,743 : 313,888 = 313,888 : x
  2. Step 2: Convert to fraction form
    150,743/313,888 = 313,888/x
  3. Step 3: Cross multiply
    150,743x = 313,888 × 313,888
  4. Step 4: Simplify right side
    150,743x = 98,525,676,544
  5. Step 5: Solve for x
    x = 98,525,676,544/150,743
  6. Step 6: Final answer
    x = 653,600.34

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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.