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Finding the Third Proportional to 197,531 and 466,109

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Solution

The third proportional to 197,531 and 466,109 is: 1,099,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,531 : 466,109 = 466,109 : x
  2. Step 2: Convert to fraction form
    197,531/466,109 = 466,109/x
  3. Step 3: Cross multiply
    197,531x = 466,109 × 466,109
  4. Step 4: Simplify right side
    197,531x = 217,257,599,881
  5. Step 5: Solve for x
    x = 217,257,599,881/197,531
  6. Step 6: Final answer
    x = 1,099,865.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.