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Finding the Third Proportional to 84,727 and 167,327.50

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Solution

The third proportional to 84,727 and 167,327.50 is: 330,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727 : 167,327.50 = 167,327.50 : x
  2. Step 2: Convert to fraction form
    84,727/167,327.50 = 167,327.50/x
  3. Step 3: Cross multiply
    84,727x = 167,327.50 × 167,327.50
  4. Step 4: Simplify right side
    84,727x = 27,998,492,256.25
  5. Step 5: Solve for x
    x = 27,998,492,256.25/84,727
  6. Step 6: Final answer
    x = 330,455.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.