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Finding the Third Proportional to 157,200.75 and 327,685.50

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Solution

The third proportional to 157,200.75 and 327,685.50 is: 683,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,200.75 : 327,685.50 = 327,685.50 : x
  2. Step 2: Convert to fraction form
    157,200.75/327,685.50 = 327,685.50/x
  3. Step 3: Cross multiply
    157,200.75x = 327,685.50 × 327,685.50
  4. Step 4: Simplify right side
    157,200.75x = 107,377,786,910.25
  5. Step 5: Solve for x
    x = 107,377,786,910.25/157,200.75
  6. Step 6: Final answer
    x = 683,061.54

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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.