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Finding the Third Proportional to 205,375 and 441,306

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Solution

The third proportional to 205,375 and 441,306 is: 948,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375 : 441,306 = 441,306 : x
  2. Step 2: Convert to fraction form
    205,375/441,306 = 441,306/x
  3. Step 3: Cross multiply
    205,375x = 441,306 × 441,306
  4. Step 4: Simplify right side
    205,375x = 194,750,985,636
  5. Step 5: Solve for x
    x = 194,750,985,636/205,375
  6. Step 6: Final answer
    x = 948,270.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.