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Finding the Third Proportional to 175,456 and 385,896

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Solution

The third proportional to 175,456 and 385,896 is: 848,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,456 : 385,896 = 385,896 : x
  2. Step 2: Convert to fraction form
    175,456/385,896 = 385,896/x
  3. Step 3: Cross multiply
    175,456x = 385,896 × 385,896
  4. Step 4: Simplify right side
    175,456x = 148,915,722,816
  5. Step 5: Solve for x
    x = 148,915,722,816/175,456
  6. Step 6: Final answer
    x = 848,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.