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Finding the Third Proportional to 171,832 and 377,536

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Solution

The third proportional to 171,832 and 377,536 is: 829,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,832 : 377,536 = 377,536 : x
  2. Step 2: Convert to fraction form
    171,832/377,536 = 377,536/x
  3. Step 3: Cross multiply
    171,832x = 377,536 × 377,536
  4. Step 4: Simplify right side
    171,832x = 142,533,431,296
  5. Step 5: Solve for x
    x = 142,533,431,296/171,832
  6. Step 6: Final answer
    x = 829,492.94

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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.