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Finding the Third Proportional to 150,764.75 and 313,935.25

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Solution

The third proportional to 150,764.75 and 313,935.25 is: 653,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,764.75 : 313,935.25 = 313,935.25 : x
  2. Step 2: Convert to fraction form
    150,764.75/313,935.25 = 313,935.25/x
  3. Step 3: Cross multiply
    150,764.75x = 313,935.25 × 313,935.25
  4. Step 4: Simplify right side
    150,764.75x = 98,555,341,192.56
  5. Step 5: Solve for x
    x = 98,555,341,192.56/150,764.75
  6. Step 6: Final answer
    x = 653,702.81

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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.