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Finding the Third Proportional to 126,666 and 197,667

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Solution

The third proportional to 126,666 and 197,667 is: 308,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,666 : 197,667 = 197,667 : x
  2. Step 2: Convert to fraction form
    126,666/197,667 = 197,667/x
  3. Step 3: Cross multiply
    126,666x = 197,667 × 197,667
  4. Step 4: Simplify right side
    126,666x = 39,072,242,889
  5. Step 5: Solve for x
    x = 39,072,242,889/126,666
  6. Step 6: Final answer
    x = 308,466.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.