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Finding the Third Proportional to 214,344.35 and 328,927.71

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Solution

The third proportional to 214,344.35 and 328,927.71 is: 504,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,344.35 : 328,927.71 = 328,927.71 : x
  2. Step 2: Convert to fraction form
    214,344.35/328,927.71 = 328,927.71/x
  3. Step 3: Cross multiply
    214,344.35x = 328,927.71 × 328,927.71
  4. Step 4: Simplify right side
    214,344.35x = 108,193,439,022.58
  5. Step 5: Solve for x
    x = 108,193,439,022.58/214,344.35
  6. Step 6: Final answer
    x = 504,764.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.