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Finding the Third Proportional to 175,137 and 385,266

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Solution

The third proportional to 175,137 and 385,266 is: 847,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,137 : 385,266 = 385,266 : x
  2. Step 2: Convert to fraction form
    175,137/385,266 = 385,266/x
  3. Step 3: Cross multiply
    175,137x = 385,266 × 385,266
  4. Step 4: Simplify right side
    175,137x = 148,429,890,756
  5. Step 5: Solve for x
    x = 148,429,890,756/175,137
  6. Step 6: Final answer
    x = 847,507.33

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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.