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Finding the Third Proportional to 177,622.88 and 273,005.44

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Solution

The third proportional to 177,622.88 and 273,005.44 is: 419,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,622.88 : 273,005.44 = 273,005.44 : x
  2. Step 2: Convert to fraction form
    177,622.88/273,005.44 = 273,005.44/x
  3. Step 3: Cross multiply
    177,622.88x = 273,005.44 × 273,005.44
  4. Step 4: Simplify right side
    177,622.88x = 74,531,968,904.57
  5. Step 5: Solve for x
    x = 74,531,968,904.57/177,622.88
  6. Step 6: Final answer
    x = 419,607.94

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