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Finding the Third Proportional to 174,930 and 275,009

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Solution

The third proportional to 174,930 and 275,009 is: 432,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,930 : 275,009 = 275,009 : x
  2. Step 2: Convert to fraction form
    174,930/275,009 = 275,009/x
  3. Step 3: Cross multiply
    174,930x = 275,009 × 275,009
  4. Step 4: Simplify right side
    174,930x = 75,629,950,081
  5. Step 5: Solve for x
    x = 75,629,950,081/174,930
  6. Step 6: Final answer
    x = 432,344.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.