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Finding the Third Proportional to 74,854.69 and 166,319.44

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Solution

The third proportional to 74,854.69 and 166,319.44 is: 369,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,854.69 : 166,319.44 = 166,319.44 : x
  2. Step 2: Convert to fraction form
    74,854.69/166,319.44 = 166,319.44/x
  3. Step 3: Cross multiply
    74,854.69x = 166,319.44 × 166,319.44
  4. Step 4: Simplify right side
    74,854.69x = 27,662,155,290.32
  5. Step 5: Solve for x
    x = 27,662,155,290.32/74,854.69
  6. Step 6: Final answer
    x = 369,544.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.