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Finding the Third Proportional to 205,928 and 377,680

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Solution

The third proportional to 205,928 and 377,680 is: 692,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928 : 377,680 = 377,680 : x
  2. Step 2: Convert to fraction form
    205,928/377,680 = 377,680/x
  3. Step 3: Cross multiply
    205,928x = 377,680 × 377,680
  4. Step 4: Simplify right side
    205,928x = 142,642,182,400
  5. Step 5: Solve for x
    x = 142,642,182,400/205,928
  6. Step 6: Final answer
    x = 692,679.88

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.