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Finding the Third Proportional to 173,542.13 and 262,162.13

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Solution

The third proportional to 173,542.13 and 262,162.13 is: 396,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,542.13 : 262,162.13 = 262,162.13 : x
  2. Step 2: Convert to fraction form
    173,542.13/262,162.13 = 262,162.13/x
  3. Step 3: Cross multiply
    173,542.13x = 262,162.13 × 262,162.13
  4. Step 4: Simplify right side
    173,542.13x = 68,728,979,784.52
  5. Step 5: Solve for x
    x = 68,728,979,784.52/173,542.13
  6. Step 6: Final answer
    x = 396,036.29

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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.