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Finding the Third Proportional to 76,823 and 164,302

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Solution

The third proportional to 76,823 and 164,302 is: 351,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823 : 164,302 = 164,302 : x
  2. Step 2: Convert to fraction form
    76,823/164,302 = 164,302/x
  3. Step 3: Cross multiply
    76,823x = 164,302 × 164,302
  4. Step 4: Simplify right side
    76,823x = 26,995,147,204
  5. Step 5: Solve for x
    x = 26,995,147,204/76,823
  6. Step 6: Final answer
    x = 351,394.08

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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.