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Finding the Third Proportional to 173,302 and 231,805

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Solution

The third proportional to 173,302 and 231,805 is: 310,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,302 : 231,805 = 231,805 : x
  2. Step 2: Convert to fraction form
    173,302/231,805 = 231,805/x
  3. Step 3: Cross multiply
    173,302x = 231,805 × 231,805
  4. Step 4: Simplify right side
    173,302x = 53,733,558,025
  5. Step 5: Solve for x
    x = 53,733,558,025/173,302
  6. Step 6: Final answer
    x = 310,057.35

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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.