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Finding the Third Proportional to 83,354 and 177,642

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Solution

The third proportional to 83,354 and 177,642 is: 378,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354 : 177,642 = 177,642 : x
  2. Step 2: Convert to fraction form
    83,354/177,642 = 177,642/x
  3. Step 3: Cross multiply
    83,354x = 177,642 × 177,642
  4. Step 4: Simplify right side
    83,354x = 31,556,680,164
  5. Step 5: Solve for x
    x = 31,556,680,164/83,354
  6. Step 6: Final answer
    x = 378,586.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.