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Finding the Third Proportional to 214,519 and 315,582

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Solution

The third proportional to 214,519 and 315,582 is: 464,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,519 : 315,582 = 315,582 : x
  2. Step 2: Convert to fraction form
    214,519/315,582 = 315,582/x
  3. Step 3: Cross multiply
    214,519x = 315,582 × 315,582
  4. Step 4: Simplify right side
    214,519x = 99,591,998,724
  5. Step 5: Solve for x
    x = 99,591,998,724/214,519
  6. Step 6: Final answer
    x = 464,257.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.