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Finding the Third Proportional to 84,667.50 and 180,999

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Solution

The third proportional to 84,667.50 and 180,999 is: 386,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,667.50 : 180,999 = 180,999 : x
  2. Step 2: Convert to fraction form
    84,667.50/180,999 = 180,999/x
  3. Step 3: Cross multiply
    84,667.50x = 180,999 × 180,999
  4. Step 4: Simplify right side
    84,667.50x = 32,760,638,001
  5. Step 5: Solve for x
    x = 32,760,638,001/84,667.50
  6. Step 6: Final answer
    x = 386,932.86

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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.