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Finding the Third Proportional to 195,208 and 265,163

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Solution

The third proportional to 195,208 and 265,163 is: 360,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,208 : 265,163 = 265,163 : x
  2. Step 2: Convert to fraction form
    195,208/265,163 = 265,163/x
  3. Step 3: Cross multiply
    195,208x = 265,163 × 265,163
  4. Step 4: Simplify right side
    195,208x = 70,311,416,569
  5. Step 5: Solve for x
    x = 70,311,416,569/195,208
  6. Step 6: Final answer
    x = 360,187.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.