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Finding the Third Proportional to 171,168 and 251,905.50

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Solution

The third proportional to 171,168 and 251,905.50 is: 370,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,168 : 251,905.50 = 251,905.50 : x
  2. Step 2: Convert to fraction form
    171,168/251,905.50 = 251,905.50/x
  3. Step 3: Cross multiply
    171,168x = 251,905.50 × 251,905.50
  4. Step 4: Simplify right side
    171,168x = 63,456,380,930.25
  5. Step 5: Solve for x
    x = 63,456,380,930.25/171,168
  6. Step 6: Final answer
    x = 370,725.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.