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Finding the Third Proportional to 166,200.19 and 273,051

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Solution

The third proportional to 166,200.19 and 273,051 is: 448,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,200.19 : 273,051 = 273,051 : x
  2. Step 2: Convert to fraction form
    166,200.19/273,051 = 273,051/x
  3. Step 3: Cross multiply
    166,200.19x = 273,051 × 273,051
  4. Step 4: Simplify right side
    166,200.19x = 74,556,848,601
  5. Step 5: Solve for x
    x = 74,556,848,601/166,200.19
  6. Step 6: Final answer
    x = 448,596.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.