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Finding the Third Proportional to 174,951.94 and 262,382.38

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Solution

The third proportional to 174,951.94 and 262,382.38 is: 393,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951.94 : 262,382.38 = 262,382.38 : x
  2. Step 2: Convert to fraction form
    174,951.94/262,382.38 = 262,382.38/x
  3. Step 3: Cross multiply
    174,951.94x = 262,382.38 × 262,382.38
  4. Step 4: Simplify right side
    174,951.94x = 68,844,510,710.64
  5. Step 5: Solve for x
    x = 68,844,510,710.64/174,951.94
  6. Step 6: Final answer
    x = 393,505.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.