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Finding the Third Proportional to 84,202 and 180,796

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Solution

The third proportional to 84,202 and 180,796 is: 388,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,202 : 180,796 = 180,796 : x
  2. Step 2: Convert to fraction form
    84,202/180,796 = 180,796/x
  3. Step 3: Cross multiply
    84,202x = 180,796 × 180,796
  4. Step 4: Simplify right side
    84,202x = 32,687,193,616
  5. Step 5: Solve for x
    x = 32,687,193,616/84,202
  6. Step 6: Final answer
    x = 388,199.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.