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Finding the Third Proportional to 76,191 and 164,334

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Solution

The third proportional to 76,191 and 164,334 is: 354,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191 : 164,334 = 164,334 : x
  2. Step 2: Convert to fraction form
    76,191/164,334 = 164,334/x
  3. Step 3: Cross multiply
    76,191x = 164,334 × 164,334
  4. Step 4: Simplify right side
    76,191x = 27,005,663,556
  5. Step 5: Solve for x
    x = 27,005,663,556/76,191
  6. Step 6: Final answer
    x = 354,446.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.