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Finding the Third Proportional to 76,847 and 164,800

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Solution

The third proportional to 76,847 and 164,800 is: 353,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847 : 164,800 = 164,800 : x
  2. Step 2: Convert to fraction form
    76,847/164,800 = 164,800/x
  3. Step 3: Cross multiply
    76,847x = 164,800 × 164,800
  4. Step 4: Simplify right side
    76,847x = 27,159,040,000
  5. Step 5: Solve for x
    x = 27,159,040,000/76,847
  6. Step 6: Final answer
    x = 353,417.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.