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Finding the Third Proportional to 83,818 and 180,758

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Solution

The third proportional to 83,818 and 180,758 is: 389,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,818 : 180,758 = 180,758 : x
  2. Step 2: Convert to fraction form
    83,818/180,758 = 180,758/x
  3. Step 3: Cross multiply
    83,818x = 180,758 × 180,758
  4. Step 4: Simplify right side
    83,818x = 32,673,454,564
  5. Step 5: Solve for x
    x = 32,673,454,564/83,818
  6. Step 6: Final answer
    x = 389,814.29

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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.