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Finding the Third Proportional to 128,458 and 197,601

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Solution

The third proportional to 128,458 and 197,601 is: 303,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,458 : 197,601 = 197,601 : x
  2. Step 2: Convert to fraction form
    128,458/197,601 = 197,601/x
  3. Step 3: Cross multiply
    128,458x = 197,601 × 197,601
  4. Step 4: Simplify right side
    128,458x = 39,046,155,201
  5. Step 5: Solve for x
    x = 39,046,155,201/128,458
  6. Step 6: Final answer
    x = 303,960.48

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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.