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Finding the Third Proportional to 166,827.09 and 204,552.84

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Solution

The third proportional to 166,827.09 and 204,552.84 is: 250,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,827.09 : 204,552.84 = 204,552.84 : x
  2. Step 2: Convert to fraction form
    166,827.09/204,552.84 = 204,552.84/x
  3. Step 3: Cross multiply
    166,827.09x = 204,552.84 × 204,552.84
  4. Step 4: Simplify right side
    166,827.09x = 41,841,865,886.21
  5. Step 5: Solve for x
    x = 41,841,865,886.21/166,827.09
  6. Step 6: Final answer
    x = 250,809.78

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.