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Finding the Third Proportional to 83,397 and 177,732

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Solution

The third proportional to 83,397 and 177,732 is: 378,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,397 : 177,732 = 177,732 : x
  2. Step 2: Convert to fraction form
    83,397/177,732 = 177,732/x
  3. Step 3: Cross multiply
    83,397x = 177,732 × 177,732
  4. Step 4: Simplify right side
    83,397x = 31,588,663,824
  5. Step 5: Solve for x
    x = 31,588,663,824/83,397
  6. Step 6: Final answer
    x = 378,774.58

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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.