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Finding the Third Proportional to 166,887 and 211,450.50

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Solution

The third proportional to 166,887 and 211,450.50 is: 267,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,887 : 211,450.50 = 211,450.50 : x
  2. Step 2: Convert to fraction form
    166,887/211,450.50 = 211,450.50/x
  3. Step 3: Cross multiply
    166,887x = 211,450.50 × 211,450.50
  4. Step 4: Simplify right side
    166,887x = 44,711,313,950.25
  5. Step 5: Solve for x
    x = 44,711,313,950.25/166,887
  6. Step 6: Final answer
    x = 267,913.70

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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.