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Finding the Third Proportional to 83,236 and 180,296

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Solution

The third proportional to 83,236 and 180,296 is: 390,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,236 : 180,296 = 180,296 : x
  2. Step 2: Convert to fraction form
    83,236/180,296 = 180,296/x
  3. Step 3: Cross multiply
    83,236x = 180,296 × 180,296
  4. Step 4: Simplify right side
    83,236x = 32,506,647,616
  5. Step 5: Solve for x
    x = 32,506,647,616/83,236
  6. Step 6: Final answer
    x = 390,535.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.