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Finding the Third Proportional to 83,626.50 and 180,213

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Solution

The third proportional to 83,626.50 and 180,213 is: 388,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,626.50 : 180,213 = 180,213 : x
  2. Step 2: Convert to fraction form
    83,626.50/180,213 = 180,213/x
  3. Step 3: Cross multiply
    83,626.50x = 180,213 × 180,213
  4. Step 4: Simplify right side
    83,626.50x = 32,476,725,369
  5. Step 5: Solve for x
    x = 32,476,725,369/83,626.50
  6. Step 6: Final answer
    x = 388,354.47

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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.