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Finding the Third Proportional to 166,514.50 and 364,719.25

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Solution

The third proportional to 166,514.50 and 364,719.25 is: 798,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,514.50 : 364,719.25 = 364,719.25 : x
  2. Step 2: Convert to fraction form
    166,514.50/364,719.25 = 364,719.25/x
  3. Step 3: Cross multiply
    166,514.50x = 364,719.25 × 364,719.25
  4. Step 4: Simplify right side
    166,514.50x = 133,020,131,320.56
  5. Step 5: Solve for x
    x = 133,020,131,320.56/166,514.50
  6. Step 6: Final answer
    x = 798,850.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.