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Finding the Third Proportional to 240,624 and 275,616

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Solution

The third proportional to 240,624 and 275,616 is: 315,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,624 : 275,616 = 275,616 : x
  2. Step 2: Convert to fraction form
    240,624/275,616 = 275,616/x
  3. Step 3: Cross multiply
    240,624x = 275,616 × 275,616
  4. Step 4: Simplify right side
    240,624x = 75,964,179,456
  5. Step 5: Solve for x
    x = 75,964,179,456/240,624
  6. Step 6: Final answer
    x = 315,696.60

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.