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Finding the Third Proportional to 83,655 and 183,834

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Solution

The third proportional to 83,655 and 183,834 is: 403,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655 : 183,834 = 183,834 : x
  2. Step 2: Convert to fraction form
    83,655/183,834 = 183,834/x
  3. Step 3: Cross multiply
    83,655x = 183,834 × 183,834
  4. Step 4: Simplify right side
    83,655x = 33,794,939,556
  5. Step 5: Solve for x
    x = 33,794,939,556/83,655
  6. Step 6: Final answer
    x = 403,979.91

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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.