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Finding the Third Proportional to 174,906.84 and 262,305.84

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Solution

The third proportional to 174,906.84 and 262,305.84 is: 393,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,906.84 : 262,305.84 = 262,305.84 : x
  2. Step 2: Convert to fraction form
    174,906.84/262,305.84 = 262,305.84/x
  3. Step 3: Cross multiply
    174,906.84x = 262,305.84 × 262,305.84
  4. Step 4: Simplify right side
    174,906.84x = 68,804,355,665.40
  5. Step 5: Solve for x
    x = 68,804,355,665.40/174,906.84
  6. Step 6: Final answer
    x = 393,377.15

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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.