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Finding the Third Proportional to 163,851.75 and 220,079.25

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Solution

The third proportional to 163,851.75 and 220,079.25 is: 295,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,851.75 : 220,079.25 = 220,079.25 : x
  2. Step 2: Convert to fraction form
    163,851.75/220,079.25 = 220,079.25/x
  3. Step 3: Cross multiply
    163,851.75x = 220,079.25 × 220,079.25
  4. Step 4: Simplify right side
    163,851.75x = 48,434,876,280.56
  5. Step 5: Solve for x
    x = 48,434,876,280.56/163,851.75
  6. Step 6: Final answer
    x = 295,601.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.