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Finding the Third Proportional to 180,297 and 417,375

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Solution

The third proportional to 180,297 and 417,375 is: 966,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,297 : 417,375 = 417,375 : x
  2. Step 2: Convert to fraction form
    180,297/417,375 = 417,375/x
  3. Step 3: Cross multiply
    180,297x = 417,375 × 417,375
  4. Step 4: Simplify right side
    180,297x = 174,201,890,625
  5. Step 5: Solve for x
    x = 174,201,890,625/180,297
  6. Step 6: Final answer
    x = 966,194.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.