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Finding the Third Proportional to 205,988 and 275,894

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Solution

The third proportional to 205,988 and 275,894 is: 369,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988 : 275,894 = 275,894 : x
  2. Step 2: Convert to fraction form
    205,988/275,894 = 275,894/x
  3. Step 3: Cross multiply
    205,988x = 275,894 × 275,894
  4. Step 4: Simplify right side
    205,988x = 76,117,499,236
  5. Step 5: Solve for x
    x = 76,117,499,236/205,988
  6. Step 6: Final answer
    x = 369,523.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.