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Finding the Third Proportional to 180,930 and 250,011

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Solution

The third proportional to 180,930 and 250,011 is: 345,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930 : 250,011 = 250,011 : x
  2. Step 2: Convert to fraction form
    180,930/250,011 = 250,011/x
  3. Step 3: Cross multiply
    180,930x = 250,011 × 250,011
  4. Step 4: Simplify right side
    180,930x = 62,505,500,121
  5. Step 5: Solve for x
    x = 62,505,500,121/180,930
  6. Step 6: Final answer
    x = 345,467.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.