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Finding the Third Proportional to 173,072 and 262,092

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Solution

The third proportional to 173,072 and 262,092 is: 396,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,072 : 262,092 = 262,092 : x
  2. Step 2: Convert to fraction form
    173,072/262,092 = 262,092/x
  3. Step 3: Cross multiply
    173,072x = 262,092 × 262,092
  4. Step 4: Simplify right side
    173,072x = 68,692,216,464
  5. Step 5: Solve for x
    x = 68,692,216,464/173,072
  6. Step 6: Final answer
    x = 396,899.65

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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.