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Finding the Third Proportional to 174,297 and 268,249.50

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Solution

The third proportional to 174,297 and 268,249.50 is: 412,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,297 : 268,249.50 = 268,249.50 : x
  2. Step 2: Convert to fraction form
    174,297/268,249.50 = 268,249.50/x
  3. Step 3: Cross multiply
    174,297x = 268,249.50 × 268,249.50
  4. Step 4: Simplify right side
    174,297x = 71,957,794,250.25
  5. Step 5: Solve for x
    x = 71,957,794,250.25/174,297
  6. Step 6: Final answer
    x = 412,845.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.