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Finding the Third Proportional to 180,049.50 and 388,011

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Solution

The third proportional to 180,049.50 and 388,011 is: 836,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,049.50 : 388,011 = 388,011 : x
  2. Step 2: Convert to fraction form
    180,049.50/388,011 = 388,011/x
  3. Step 3: Cross multiply
    180,049.50x = 388,011 × 388,011
  4. Step 4: Simplify right side
    180,049.50x = 150,552,536,121
  5. Step 5: Solve for x
    x = 150,552,536,121/180,049.50
  6. Step 6: Final answer
    x = 836,173.03

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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.