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Finding the Third Proportional to 85,333 and 183,748

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Solution

The third proportional to 85,333 and 183,748 is: 395,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,333 : 183,748 = 183,748 : x
  2. Step 2: Convert to fraction form
    85,333/183,748 = 183,748/x
  3. Step 3: Cross multiply
    85,333x = 183,748 × 183,748
  4. Step 4: Simplify right side
    85,333x = 33,763,327,504
  5. Step 5: Solve for x
    x = 33,763,327,504/85,333
  6. Step 6: Final answer
    x = 395,665.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.