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Finding the Third Proportional to 140,832.75 and 313,150.88

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Solution

The third proportional to 140,832.75 and 313,150.88 is: 696,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,832.75 : 313,150.88 = 313,150.88 : x
  2. Step 2: Convert to fraction form
    140,832.75/313,150.88 = 313,150.88/x
  3. Step 3: Cross multiply
    140,832.75x = 313,150.88 × 313,150.88
  4. Step 4: Simplify right side
    140,832.75x = 98,063,470,513.27
  5. Step 5: Solve for x
    x = 98,063,470,513.27/140,832.75
  6. Step 6: Final answer
    x = 696,311.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.