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Finding the Third Proportional to 214,802 and 315,626

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Solution

The third proportional to 214,802 and 315,626 is: 463,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802 : 315,626 = 315,626 : x
  2. Step 2: Convert to fraction form
    214,802/315,626 = 315,626/x
  3. Step 3: Cross multiply
    214,802x = 315,626 × 315,626
  4. Step 4: Simplify right side
    214,802x = 99,619,771,876
  5. Step 5: Solve for x
    x = 99,619,771,876/214,802
  6. Step 6: Final answer
    x = 463,774.88

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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.