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Finding the Third Proportional to 103,640 and 274,295

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Solution

The third proportional to 103,640 and 274,295 is: 725,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 274,295 = 274,295 : x
  2. Step 2: Convert to fraction form
    103,640/274,295 = 274,295/x
  3. Step 3: Cross multiply
    103,640x = 274,295 × 274,295
  4. Step 4: Simplify right side
    103,640x = 75,237,747,025
  5. Step 5: Solve for x
    x = 75,237,747,025/103,640
  6. Step 6: Final answer
    x = 725,952.79

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.