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Finding the Third Proportional to 84,888 and 167,628

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Solution

The third proportional to 84,888 and 167,628 is: 331,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,888 : 167,628 = 167,628 : x
  2. Step 2: Convert to fraction form
    84,888/167,628 = 167,628/x
  3. Step 3: Cross multiply
    84,888x = 167,628 × 167,628
  4. Step 4: Simplify right side
    84,888x = 28,099,146,384
  5. Step 5: Solve for x
    x = 28,099,146,384/84,888
  6. Step 6: Final answer
    x = 331,014.35

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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.