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Finding the Third Proportional to 174,949.88 and 270,156.94

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Solution

The third proportional to 174,949.88 and 270,156.94 is: 417,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,949.88 : 270,156.94 = 270,156.94 : x
  2. Step 2: Convert to fraction form
    174,949.88/270,156.94 = 270,156.94/x
  3. Step 3: Cross multiply
    174,949.88x = 270,156.94 × 270,156.94
  4. Step 4: Simplify right side
    174,949.88x = 72,984,770,879.38
  5. Step 5: Solve for x
    x = 72,984,770,879.38/174,949.88
  6. Step 6: Final answer
    x = 417,175.32

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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.