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Finding the Third Proportional to 210,350 and 283,431

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Solution

The third proportional to 210,350 and 283,431 is: 381,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,350 : 283,431 = 283,431 : x
  2. Step 2: Convert to fraction form
    210,350/283,431 = 283,431/x
  3. Step 3: Cross multiply
    210,350x = 283,431 × 283,431
  4. Step 4: Simplify right side
    210,350x = 80,333,131,761
  5. Step 5: Solve for x
    x = 80,333,131,761/210,350
  6. Step 6: Final answer
    x = 381,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.