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Finding the Third Proportional to 183,584.25 and 283,680

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Solution

The third proportional to 183,584.25 and 283,680 is: 438,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,584.25 : 283,680 = 283,680 : x
  2. Step 2: Convert to fraction form
    183,584.25/283,680 = 283,680/x
  3. Step 3: Cross multiply
    183,584.25x = 283,680 × 283,680
  4. Step 4: Simplify right side
    183,584.25x = 80,474,342,400
  5. Step 5: Solve for x
    x = 80,474,342,400/183,584.25
  6. Step 6: Final answer
    x = 438,351.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.