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Finding the Third Proportional to 197,227.50 and 433,983

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Solution

The third proportional to 197,227.50 and 433,983 is: 954,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,227.50 : 433,983 = 433,983 : x
  2. Step 2: Convert to fraction form
    197,227.50/433,983 = 433,983/x
  3. Step 3: Cross multiply
    197,227.50x = 433,983 × 433,983
  4. Step 4: Simplify right side
    197,227.50x = 188,341,244,289
  5. Step 5: Solve for x
    x = 188,341,244,289/197,227.50
  6. Step 6: Final answer
    x = 954,944.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.