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Finding the Third Proportional to 74,824.50 and 166,276.88

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Solution

The third proportional to 74,824.50 and 166,276.88 is: 369,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824.50 : 166,276.88 = 166,276.88 : x
  2. Step 2: Convert to fraction form
    74,824.50/166,276.88 = 166,276.88/x
  3. Step 3: Cross multiply
    74,824.50x = 166,276.88 × 166,276.88
  4. Step 4: Simplify right side
    74,824.50x = 27,647,999,159.77
  5. Step 5: Solve for x
    x = 27,647,999,159.77/74,824.50
  6. Step 6: Final answer
    x = 369,504.63

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