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Finding the Third Proportional to 116,524 and 202,285

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Solution

The third proportional to 116,524 and 202,285 is: 351,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,524 : 202,285 = 202,285 : x
  2. Step 2: Convert to fraction form
    116,524/202,285 = 202,285/x
  3. Step 3: Cross multiply
    116,524x = 202,285 × 202,285
  4. Step 4: Simplify right side
    116,524x = 40,919,221,225
  5. Step 5: Solve for x
    x = 40,919,221,225/116,524
  6. Step 6: Final answer
    x = 351,165.61

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.