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Finding the Third Proportional to 166,248 and 263,287

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Solution

The third proportional to 166,248 and 263,287 is: 416,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,248 : 263,287 = 263,287 : x
  2. Step 2: Convert to fraction form
    166,248/263,287 = 263,287/x
  3. Step 3: Cross multiply
    166,248x = 263,287 × 263,287
  4. Step 4: Simplify right side
    166,248x = 69,320,044,369
  5. Step 5: Solve for x
    x = 69,320,044,369/166,248
  6. Step 6: Final answer
    x = 416,967.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.