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Finding the Third Proportional to 166,433.63 and 364,005

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Solution

The third proportional to 166,433.63 and 364,005 is: 796,111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,433.63 : 364,005 = 364,005 : x
  2. Step 2: Convert to fraction form
    166,433.63/364,005 = 364,005/x
  3. Step 3: Cross multiply
    166,433.63x = 364,005 × 364,005
  4. Step 4: Simplify right side
    166,433.63x = 132,499,640,025
  5. Step 5: Solve for x
    x = 132,499,640,025/166,433.63
  6. Step 6: Final answer
    x = 796,111.00

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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.