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Finding the Third Proportional to 175,824 and 275,616

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Solution

The third proportional to 175,824 and 275,616 is: 432,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,824 : 275,616 = 275,616 : x
  2. Step 2: Convert to fraction form
    175,824/275,616 = 275,616/x
  3. Step 3: Cross multiply
    175,824x = 275,616 × 275,616
  4. Step 4: Simplify right side
    175,824x = 75,964,179,456
  5. Step 5: Solve for x
    x = 75,964,179,456/175,824
  6. Step 6: Final answer
    x = 432,046.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.