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Finding the Third Proportional to 197,067.50 and 430,942

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Solution

The third proportional to 197,067.50 and 430,942 is: 942,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,067.50 : 430,942 = 430,942 : x
  2. Step 2: Convert to fraction form
    197,067.50/430,942 = 430,942/x
  3. Step 3: Cross multiply
    197,067.50x = 430,942 × 430,942
  4. Step 4: Simplify right side
    197,067.50x = 185,711,007,364
  5. Step 5: Solve for x
    x = 185,711,007,364/197,067.50
  6. Step 6: Final answer
    x = 942,372.57

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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.