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Finding the Third Proportional to 175,395 and 385,782

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Solution

The third proportional to 175,395 and 385,782 is: 848,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,395 : 385,782 = 385,782 : x
  2. Step 2: Convert to fraction form
    175,395/385,782 = 385,782/x
  3. Step 3: Cross multiply
    175,395x = 385,782 × 385,782
  4. Step 4: Simplify right side
    175,395x = 148,827,751,524
  5. Step 5: Solve for x
    x = 148,827,751,524/175,395
  6. Step 6: Final answer
    x = 848,529.04

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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.