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Finding the Third Proportional to 196,377 and 300,273

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Solution

The third proportional to 196,377 and 300,273 is: 459,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,377 : 300,273 = 300,273 : x
  2. Step 2: Convert to fraction form
    196,377/300,273 = 300,273/x
  3. Step 3: Cross multiply
    196,377x = 300,273 × 300,273
  4. Step 4: Simplify right side
    196,377x = 90,163,874,529
  5. Step 5: Solve for x
    x = 90,163,874,529/196,377
  6. Step 6: Final answer
    x = 459,136.63

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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.