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Finding the Third Proportional to 195,856 and 258,648

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Solution

The third proportional to 195,856 and 258,648 is: 341,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,856 : 258,648 = 258,648 : x
  2. Step 2: Convert to fraction form
    195,856/258,648 = 258,648/x
  3. Step 3: Cross multiply
    195,856x = 258,648 × 258,648
  4. Step 4: Simplify right side
    195,856x = 66,898,787,904
  5. Step 5: Solve for x
    x = 66,898,787,904/195,856
  6. Step 6: Final answer
    x = 341,571.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.