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Finding the Third Proportional to 180,569 and 388,885

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Solution

The third proportional to 180,569 and 388,885 is: 837,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,569 : 388,885 = 388,885 : x
  2. Step 2: Convert to fraction form
    180,569/388,885 = 388,885/x
  3. Step 3: Cross multiply
    180,569x = 388,885 × 388,885
  4. Step 4: Simplify right side
    180,569x = 151,231,543,225
  5. Step 5: Solve for x
    x = 151,231,543,225/180,569
  6. Step 6: Final answer
    x = 837,527.72

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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.