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Finding the Third Proportional to 83,680 and 183,944

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Solution

The third proportional to 83,680 and 183,944 is: 404,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,680 : 183,944 = 183,944 : x
  2. Step 2: Convert to fraction form
    83,680/183,944 = 183,944/x
  3. Step 3: Cross multiply
    83,680x = 183,944 × 183,944
  4. Step 4: Simplify right side
    83,680x = 33,835,395,136
  5. Step 5: Solve for x
    x = 33,835,395,136/83,680
  6. Step 6: Final answer
    x = 404,342.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.