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Finding the Third Proportional to 197,277 and 305,122.50

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Solution

The third proportional to 197,277 and 305,122.50 is: 471,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,277 : 305,122.50 = 305,122.50 : x
  2. Step 2: Convert to fraction form
    197,277/305,122.50 = 305,122.50/x
  3. Step 3: Cross multiply
    197,277x = 305,122.50 × 305,122.50
  4. Step 4: Simplify right side
    197,277x = 93,099,740,006.25
  5. Step 5: Solve for x
    x = 93,099,740,006.25/197,277
  6. Step 6: Final answer
    x = 471,923.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.