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Finding the Third Proportional to 173,162.25 and 232,707.38

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Solution

The third proportional to 173,162.25 and 232,707.38 is: 312,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,162.25 : 232,707.38 = 232,707.38 : x
  2. Step 2: Convert to fraction form
    173,162.25/232,707.38 = 232,707.38/x
  3. Step 3: Cross multiply
    173,162.25x = 232,707.38 × 232,707.38
  4. Step 4: Simplify right side
    173,162.25x = 54,152,722,379.39
  5. Step 5: Solve for x
    x = 54,152,722,379.39/173,162.25
  6. Step 6: Final answer
    x = 312,728.22

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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.