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Finding the Third Proportional to 179,888.25 and 395,997

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Solution

The third proportional to 179,888.25 and 395,997 is: 871,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,888.25 : 395,997 = 395,997 : x
  2. Step 2: Convert to fraction form
    179,888.25/395,997 = 395,997/x
  3. Step 3: Cross multiply
    179,888.25x = 395,997 × 395,997
  4. Step 4: Simplify right side
    179,888.25x = 156,813,624,009
  5. Step 5: Solve for x
    x = 156,813,624,009/179,888.25
  6. Step 6: Final answer
    x = 871,728.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.