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Finding the Third Proportional to 201,267 and 411,273

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Solution

The third proportional to 201,267 and 411,273 is: 840,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,267 : 411,273 = 411,273 : x
  2. Step 2: Convert to fraction form
    201,267/411,273 = 411,273/x
  3. Step 3: Cross multiply
    201,267x = 411,273 × 411,273
  4. Step 4: Simplify right side
    201,267x = 169,145,480,529
  5. Step 5: Solve for x
    x = 169,145,480,529/201,267
  6. Step 6: Final answer
    x = 840,403.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.