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Finding the Third Proportional to 173,662 and 262,341

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Solution

The third proportional to 173,662 and 262,341 is: 396,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,662 : 262,341 = 262,341 : x
  2. Step 2: Convert to fraction form
    173,662/262,341 = 262,341/x
  3. Step 3: Cross multiply
    173,662x = 262,341 × 262,341
  4. Step 4: Simplify right side
    173,662x = 68,822,800,281
  5. Step 5: Solve for x
    x = 68,822,800,281/173,662
  6. Step 6: Final answer
    x = 396,303.17

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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.