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Finding the Third Proportional to 160,832 and 351,464

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Solution

The third proportional to 160,832 and 351,464 is: 768,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832 : 351,464 = 351,464 : x
  2. Step 2: Convert to fraction form
    160,832/351,464 = 351,464/x
  3. Step 3: Cross multiply
    160,832x = 351,464 × 351,464
  4. Step 4: Simplify right side
    160,832x = 123,526,943,296
  5. Step 5: Solve for x
    x = 123,526,943,296/160,832
  6. Step 6: Final answer
    x = 768,049.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.