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Finding the Third Proportional to 133,823 and 297,166

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Solution

The third proportional to 133,823 and 297,166 is: 659,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823 : 297,166 = 297,166 : x
  2. Step 2: Convert to fraction form
    133,823/297,166 = 297,166/x
  3. Step 3: Cross multiply
    133,823x = 297,166 × 297,166
  4. Step 4: Simplify right side
    133,823x = 88,307,631,556
  5. Step 5: Solve for x
    x = 88,307,631,556/133,823
  6. Step 6: Final answer
    x = 659,883.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.