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Finding the Third Proportional to 83,816 and 180,754

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Solution

The third proportional to 83,816 and 180,754 is: 389,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816 : 180,754 = 180,754 : x
  2. Step 2: Convert to fraction form
    83,816/180,754 = 180,754/x
  3. Step 3: Cross multiply
    83,816x = 180,754 × 180,754
  4. Step 4: Simplify right side
    83,816x = 32,672,008,516
  5. Step 5: Solve for x
    x = 32,672,008,516/83,816
  6. Step 6: Final answer
    x = 389,806.34

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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.