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Finding the Third Proportional to 197,991 and 433,981.13

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Solution

The third proportional to 197,991 and 433,981.13 is: 951,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,991 : 433,981.13 = 433,981.13 : x
  2. Step 2: Convert to fraction form
    197,991/433,981.13 = 433,981.13/x
  3. Step 3: Cross multiply
    197,991x = 433,981.13 × 433,981.13
  4. Step 4: Simplify right side
    197,991x = 188,339,616,856.27
  5. Step 5: Solve for x
    x = 188,339,616,856.27/197,991
  6. Step 6: Final answer
    x = 951,253.42

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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.