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Finding the Third Proportional to 103,772 and 202,360

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Solution

The third proportional to 103,772 and 202,360 is: 394,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772 : 202,360 = 202,360 : x
  2. Step 2: Convert to fraction form
    103,772/202,360 = 202,360/x
  3. Step 3: Cross multiply
    103,772x = 202,360 × 202,360
  4. Step 4: Simplify right side
    103,772x = 40,949,569,600
  5. Step 5: Solve for x
    x = 40,949,569,600/103,772
  6. Step 6: Final answer
    x = 394,610.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.