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Finding the Third Proportional to 200,746 and 275,273

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Solution

The third proportional to 200,746 and 275,273 is: 377,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746 : 275,273 = 275,273 : x
  2. Step 2: Convert to fraction form
    200,746/275,273 = 275,273/x
  3. Step 3: Cross multiply
    200,746x = 275,273 × 275,273
  4. Step 4: Simplify right side
    200,746x = 75,775,224,529
  5. Step 5: Solve for x
    x = 75,775,224,529/200,746
  6. Step 6: Final answer
    x = 377,468.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.