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Finding the Third Proportional to 166,284.11 and 363,622.36

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Solution

The third proportional to 166,284.11 and 363,622.36 is: 795,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,284.11 : 363,622.36 = 363,622.36 : x
  2. Step 2: Convert to fraction form
    166,284.11/363,622.36 = 363,622.36/x
  3. Step 3: Cross multiply
    166,284.11x = 363,622.36 × 363,622.36
  4. Step 4: Simplify right side
    166,284.11x = 132,221,220,237.44
  5. Step 5: Solve for x
    x = 132,221,220,237.44/166,284.11
  6. Step 6: Final answer
    x = 795,152.49

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Why These Related Problems?

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