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Finding the Third Proportional to 177,641.44 and 273,051.84

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Solution

The third proportional to 177,641.44 and 273,051.84 is: 419,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.44 : 273,051.84 = 273,051.84 : x
  2. Step 2: Convert to fraction form
    177,641.44/273,051.84 = 273,051.84/x
  3. Step 3: Cross multiply
    177,641.44x = 273,051.84 × 273,051.84
  4. Step 4: Simplify right side
    177,641.44x = 74,557,309,375.27
  5. Step 5: Solve for x
    x = 74,557,309,375.27/177,641.44
  6. Step 6: Final answer
    x = 419,706.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.