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Finding the Third Proportional to 175,372 and 380,536

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Solution

The third proportional to 175,372 and 380,536 is: 825,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,372 : 380,536 = 380,536 : x
  2. Step 2: Convert to fraction form
    175,372/380,536 = 380,536/x
  3. Step 3: Cross multiply
    175,372x = 380,536 × 380,536
  4. Step 4: Simplify right side
    175,372x = 144,807,647,296
  5. Step 5: Solve for x
    x = 144,807,647,296/175,372
  6. Step 6: Final answer
    x = 825,717.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.