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Finding the Third Proportional to 197,277 and 431,458.75

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Solution

The third proportional to 197,277 and 431,458.75 is: 943,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,277 : 431,458.75 = 431,458.75 : x
  2. Step 2: Convert to fraction form
    197,277/431,458.75 = 431,458.75/x
  3. Step 3: Cross multiply
    197,277x = 431,458.75 × 431,458.75
  4. Step 4: Simplify right side
    197,277x = 186,156,652,951.56
  5. Step 5: Solve for x
    x = 186,156,652,951.56/197,277
  6. Step 6: Final answer
    x = 943,630.80

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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.