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Finding the Third Proportional to 110,578.50 and 166,784.06

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Solution

The third proportional to 110,578.50 and 166,784.06 is: 251,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,578.50 : 166,784.06 = 166,784.06 : x
  2. Step 2: Convert to fraction form
    110,578.50/166,784.06 = 166,784.06/x
  3. Step 3: Cross multiply
    110,578.50x = 166,784.06 × 166,784.06
  4. Step 4: Simplify right side
    110,578.50x = 27,816,923,504.00
  5. Step 5: Solve for x
    x = 27,816,923,504.00/110,578.50
  6. Step 6: Final answer
    x = 251,558.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.