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Finding the Third Proportional to 166,284.56 and 364,758.19

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Solution

The third proportional to 166,284.56 and 364,758.19 is: 800,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,284.56 : 364,758.19 = 364,758.19 : x
  2. Step 2: Convert to fraction form
    166,284.56/364,758.19 = 364,758.19/x
  3. Step 3: Cross multiply
    166,284.56x = 364,758.19 × 364,758.19
  4. Step 4: Simplify right side
    166,284.56x = 133,048,535,348.29
  5. Step 5: Solve for x
    x = 133,048,535,348.29/166,284.56
  6. Step 6: Final answer
    x = 800,125.60

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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.