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Finding the Third Proportional to 76,181 and 176,334

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Solution

The third proportional to 76,181 and 176,334 is: 408,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181 : 176,334 = 176,334 : x
  2. Step 2: Convert to fraction form
    76,181/176,334 = 176,334/x
  3. Step 3: Cross multiply
    76,181x = 176,334 × 176,334
  4. Step 4: Simplify right side
    76,181x = 31,093,679,556
  5. Step 5: Solve for x
    x = 31,093,679,556/76,181
  6. Step 6: Final answer
    x = 408,155.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.