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Finding the Third Proportional to 197,102 and 303,375

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Solution

The third proportional to 197,102 and 303,375 is: 466,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,102 : 303,375 = 303,375 : x
  2. Step 2: Convert to fraction form
    197,102/303,375 = 303,375/x
  3. Step 3: Cross multiply
    197,102x = 303,375 × 303,375
  4. Step 4: Simplify right side
    197,102x = 92,036,390,625
  5. Step 5: Solve for x
    x = 92,036,390,625/197,102
  6. Step 6: Final answer
    x = 466,948.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.