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Finding the Third Proportional to 180,013 and 388,901

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Solution

The third proportional to 180,013 and 388,901 is: 840,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,013 : 388,901 = 388,901 : x
  2. Step 2: Convert to fraction form
    180,013/388,901 = 388,901/x
  3. Step 3: Cross multiply
    180,013x = 388,901 × 388,901
  4. Step 4: Simplify right side
    180,013x = 151,243,987,801
  5. Step 5: Solve for x
    x = 151,243,987,801/180,013
  6. Step 6: Final answer
    x = 840,183.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.