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Finding the Third Proportional to 214,668 and 340,416

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Solution

The third proportional to 214,668 and 340,416 is: 539,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668 : 340,416 = 340,416 : x
  2. Step 2: Convert to fraction form
    214,668/340,416 = 340,416/x
  3. Step 3: Cross multiply
    214,668x = 340,416 × 340,416
  4. Step 4: Simplify right side
    214,668x = 115,883,053,056
  5. Step 5: Solve for x
    x = 115,883,053,056/214,668
  6. Step 6: Final answer
    x = 539,824.53

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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.