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Finding the Third Proportional to 118,194 and 256,080

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Solution

The third proportional to 118,194 and 256,080 is: 554,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,194 : 256,080 = 256,080 : x
  2. Step 2: Convert to fraction form
    118,194/256,080 = 256,080/x
  3. Step 3: Cross multiply
    118,194x = 256,080 × 256,080
  4. Step 4: Simplify right side
    118,194x = 65,576,966,400
  5. Step 5: Solve for x
    x = 65,576,966,400/118,194
  6. Step 6: Final answer
    x = 554,824.83

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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.