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Finding the Third Proportional to 214,350 and 328,938

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Solution

The third proportional to 214,350 and 328,938 is: 504,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,350 : 328,938 = 328,938 : x
  2. Step 2: Convert to fraction form
    214,350/328,938 = 328,938/x
  3. Step 3: Cross multiply
    214,350x = 328,938 × 328,938
  4. Step 4: Simplify right side
    214,350x = 108,200,207,844
  5. Step 5: Solve for x
    x = 108,200,207,844/214,350
  6. Step 6: Final answer
    x = 504,782.87

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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.