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Finding the Third Proportional to 118,200.75 and 256,064.25

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Solution

The third proportional to 118,200.75 and 256,064.25 is: 554,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,200.75 : 256,064.25 = 256,064.25 : x
  2. Step 2: Convert to fraction form
    118,200.75/256,064.25 = 256,064.25/x
  3. Step 3: Cross multiply
    118,200.75x = 256,064.25 × 256,064.25
  4. Step 4: Simplify right side
    118,200.75x = 65,568,900,128.06
  5. Step 5: Solve for x
    x = 65,568,900,128.06/118,200.75
  6. Step 6: Final answer
    x = 554,724.91

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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.