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Finding the Third Proportional to 173,540.81 and 262,160.44

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Solution

The third proportional to 173,540.81 and 262,160.44 is: 396,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,540.81 : 262,160.44 = 262,160.44 : x
  2. Step 2: Convert to fraction form
    173,540.81/262,160.44 = 262,160.44/x
  3. Step 3: Cross multiply
    173,540.81x = 262,160.44 × 262,160.44
  4. Step 4: Simplify right side
    173,540.81x = 68,728,094,990.19
  5. Step 5: Solve for x
    x = 68,728,094,990.19/173,540.81
  6. Step 6: Final answer
    x = 396,034.19

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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.