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Finding the Third Proportional to 156,917.25 and 343,176.75

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Solution

The third proportional to 156,917.25 and 343,176.75 is: 750,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,917.25 : 343,176.75 = 343,176.75 : x
  2. Step 2: Convert to fraction form
    156,917.25/343,176.75 = 343,176.75/x
  3. Step 3: Cross multiply
    156,917.25x = 343,176.75 × 343,176.75
  4. Step 4: Simplify right side
    156,917.25x = 117,770,281,740.56
  5. Step 5: Solve for x
    x = 117,770,281,740.56/156,917.25
  6. Step 6: Final answer
    x = 750,524.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.