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Finding the Third Proportional to 207,608 and 295,856

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Solution

The third proportional to 207,608 and 295,856 is: 421,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,608 : 295,856 = 295,856 : x
  2. Step 2: Convert to fraction form
    207,608/295,856 = 295,856/x
  3. Step 3: Cross multiply
    207,608x = 295,856 × 295,856
  4. Step 4: Simplify right side
    207,608x = 87,530,772,736
  5. Step 5: Solve for x
    x = 87,530,772,736/207,608
  6. Step 6: Final answer
    x = 421,615.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.