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Finding the Third Proportional to 118,269.75 and 256,224.75

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Solution

The third proportional to 118,269.75 and 256,224.75 is: 555,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,269.75 : 256,224.75 = 256,224.75 : x
  2. Step 2: Convert to fraction form
    118,269.75/256,224.75 = 256,224.75/x
  3. Step 3: Cross multiply
    118,269.75x = 256,224.75 × 256,224.75
  4. Step 4: Simplify right side
    118,269.75x = 65,651,122,512.56
  5. Step 5: Solve for x
    x = 65,651,122,512.56/118,269.75
  6. Step 6: Final answer
    x = 555,096.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.