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Finding the Third Proportional to 173,551 and 262,175

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Solution

The third proportional to 173,551 and 262,175 is: 396,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,551 : 262,175 = 262,175 : x
  2. Step 2: Convert to fraction form
    173,551/262,175 = 262,175/x
  3. Step 3: Cross multiply
    173,551x = 262,175 × 262,175
  4. Step 4: Simplify right side
    173,551x = 68,735,730,625
  5. Step 5: Solve for x
    x = 68,735,730,625/173,551
  6. Step 6: Final answer
    x = 396,054.94

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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.