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Finding the Third Proportional to 83,580 and 183,696

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Solution

The third proportional to 83,580 and 183,696 is: 403,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580 : 183,696 = 183,696 : x
  2. Step 2: Convert to fraction form
    83,580/183,696 = 183,696/x
  3. Step 3: Cross multiply
    83,580x = 183,696 × 183,696
  4. Step 4: Simplify right side
    83,580x = 33,744,220,416
  5. Step 5: Solve for x
    x = 33,744,220,416/83,580
  6. Step 6: Final answer
    x = 403,735.59

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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.