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Finding the Third Proportional to 166,464 and 255,285

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Solution

The third proportional to 166,464 and 255,285 is: 391,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,464 : 255,285 = 255,285 : x
  2. Step 2: Convert to fraction form
    166,464/255,285 = 255,285/x
  3. Step 3: Cross multiply
    166,464x = 255,285 × 255,285
  4. Step 4: Simplify right side
    166,464x = 65,170,431,225
  5. Step 5: Solve for x
    x = 65,170,431,225/166,464
  6. Step 6: Final answer
    x = 391,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.