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Finding the Third Proportional to 88,667 and 197,017

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Solution

The third proportional to 88,667 and 197,017 is: 437,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,667 : 197,017 = 197,017 : x
  2. Step 2: Convert to fraction form
    88,667/197,017 = 197,017/x
  3. Step 3: Cross multiply
    88,667x = 197,017 × 197,017
  4. Step 4: Simplify right side
    88,667x = 38,815,698,289
  5. Step 5: Solve for x
    x = 38,815,698,289/88,667
  6. Step 6: Final answer
    x = 437,769.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.