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Finding the Third Proportional to 118,290.93 and 256,546.78

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Solution

The third proportional to 118,290.93 and 256,546.78 is: 556,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,290.93 : 256,546.78 = 256,546.78 : x
  2. Step 2: Convert to fraction form
    118,290.93/256,546.78 = 256,546.78/x
  3. Step 3: Cross multiply
    118,290.93x = 256,546.78 × 256,546.78
  4. Step 4: Simplify right side
    118,290.93x = 65,816,247,963.33
  5. Step 5: Solve for x
    x = 65,816,247,963.33/118,290.93
  6. Step 6: Final answer
    x = 556,393.03

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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.