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Finding the Third Proportional to 160,531 and 351,512

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Solution

The third proportional to 160,531 and 351,512 is: 769,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,531 : 351,512 = 351,512 : x
  2. Step 2: Convert to fraction form
    160,531/351,512 = 351,512/x
  3. Step 3: Cross multiply
    160,531x = 351,512 × 351,512
  4. Step 4: Simplify right side
    160,531x = 123,560,686,144
  5. Step 5: Solve for x
    x = 123,560,686,144/160,531
  6. Step 6: Final answer
    x = 769,699.85

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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.