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Finding the Third Proportional to 174,845.25 and 375,174

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Solution

The third proportional to 174,845.25 and 375,174 is: 805,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,845.25 : 375,174 = 375,174 : x
  2. Step 2: Convert to fraction form
    174,845.25/375,174 = 375,174/x
  3. Step 3: Cross multiply
    174,845.25x = 375,174 × 375,174
  4. Step 4: Simplify right side
    174,845.25x = 140,755,530,276
  5. Step 5: Solve for x
    x = 140,755,530,276/174,845.25
  6. Step 6: Final answer
    x = 805,029.19

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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.