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Finding the Third Proportional to 118,469.25 and 255,906

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Solution

The third proportional to 118,469.25 and 255,906 is: 552,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,469.25 : 255,906 = 255,906 : x
  2. Step 2: Convert to fraction form
    118,469.25/255,906 = 255,906/x
  3. Step 3: Cross multiply
    118,469.25x = 255,906 × 255,906
  4. Step 4: Simplify right side
    118,469.25x = 65,487,880,836
  5. Step 5: Solve for x
    x = 65,487,880,836/118,469.25
  6. Step 6: Final answer
    x = 552,783.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.