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Finding the Third Proportional to 166,971 and 211,564.50

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Solution

The third proportional to 166,971 and 211,564.50 is: 268,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,971 : 211,564.50 = 211,564.50 : x
  2. Step 2: Convert to fraction form
    166,971/211,564.50 = 211,564.50/x
  3. Step 3: Cross multiply
    166,971x = 211,564.50 × 211,564.50
  4. Step 4: Simplify right side
    166,971x = 44,759,537,660.25
  5. Step 5: Solve for x
    x = 44,759,537,660.25/166,971
  6. Step 6: Final answer
    x = 268,067.73

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.