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Finding the Third Proportional to 80,856 and 190,596

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Solution

The third proportional to 80,856 and 190,596 is: 449,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856 : 190,596 = 190,596 : x
  2. Step 2: Convert to fraction form
    80,856/190,596 = 190,596/x
  3. Step 3: Cross multiply
    80,856x = 190,596 × 190,596
  4. Step 4: Simplify right side
    80,856x = 36,326,835,216
  5. Step 5: Solve for x
    x = 36,326,835,216/80,856
  6. Step 6: Final answer
    x = 449,278.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.