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Finding the Third Proportional to 110,828.25 and 167,548.50

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Solution

The third proportional to 110,828.25 and 167,548.50 is: 253,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,828.25 : 167,548.50 = 167,548.50 : x
  2. Step 2: Convert to fraction form
    110,828.25/167,548.50 = 167,548.50/x
  3. Step 3: Cross multiply
    110,828.25x = 167,548.50 × 167,548.50
  4. Step 4: Simplify right side
    110,828.25x = 28,072,499,852.25
  5. Step 5: Solve for x
    x = 28,072,499,852.25/110,828.25
  6. Step 6: Final answer
    x = 253,297.33

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