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Finding the Third Proportional to 214,626 and 341,642

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Solution

The third proportional to 214,626 and 341,642 is: 543,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 341,642 = 341,642 : x
  2. Step 2: Convert to fraction form
    214,626/341,642 = 341,642/x
  3. Step 3: Cross multiply
    214,626x = 341,642 × 341,642
  4. Step 4: Simplify right side
    214,626x = 116,719,256,164
  5. Step 5: Solve for x
    x = 116,719,256,164/214,626
  6. Step 6: Final answer
    x = 543,826.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.