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Finding the Third Proportional to 84,806 and 167,480

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Solution

The third proportional to 84,806 and 167,480 is: 330,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,806 : 167,480 = 167,480 : x
  2. Step 2: Convert to fraction form
    84,806/167,480 = 167,480/x
  3. Step 3: Cross multiply
    84,806x = 167,480 × 167,480
  4. Step 4: Simplify right side
    84,806x = 28,049,550,400
  5. Step 5: Solve for x
    x = 28,049,550,400/84,806
  6. Step 6: Final answer
    x = 330,749.60

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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.