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Finding the Third Proportional to 150,796 and 313,994

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Solution

The third proportional to 150,796 and 313,994 is: 653,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,796 : 313,994 = 313,994 : x
  2. Step 2: Convert to fraction form
    150,796/313,994 = 313,994/x
  3. Step 3: Cross multiply
    150,796x = 313,994 × 313,994
  4. Step 4: Simplify right side
    150,796x = 98,592,232,036
  5. Step 5: Solve for x
    x = 98,592,232,036/150,796
  6. Step 6: Final answer
    x = 653,811.98

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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.