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Finding the Third Proportional to 84,667 and 180,998

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Solution

The third proportional to 84,667 and 180,998 is: 386,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,667 : 180,998 = 180,998 : x
  2. Step 2: Convert to fraction form
    84,667/180,998 = 180,998/x
  3. Step 3: Cross multiply
    84,667x = 180,998 × 180,998
  4. Step 4: Simplify right side
    84,667x = 32,760,276,004
  5. Step 5: Solve for x
    x = 32,760,276,004/84,667
  6. Step 6: Final answer
    x = 386,930.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.