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Finding the Third Proportional to 83,804 and 180,727

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Solution

The third proportional to 83,804 and 180,727 is: 389,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,804 : 180,727 = 180,727 : x
  2. Step 2: Convert to fraction form
    83,804/180,727 = 180,727/x
  3. Step 3: Cross multiply
    83,804x = 180,727 × 180,727
  4. Step 4: Simplify right side
    83,804x = 32,662,248,529
  5. Step 5: Solve for x
    x = 32,662,248,529/83,804
  6. Step 6: Final answer
    x = 389,745.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.