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Finding the Third Proportional to 118,195 and 256,081

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Solution

The third proportional to 118,195 and 256,081 is: 554,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,195 : 256,081 = 256,081 : x
  2. Step 2: Convert to fraction form
    118,195/256,081 = 256,081/x
  3. Step 3: Cross multiply
    118,195x = 256,081 × 256,081
  4. Step 4: Simplify right side
    118,195x = 65,577,478,561
  5. Step 5: Solve for x
    x = 65,577,478,561/118,195
  6. Step 6: Final answer
    x = 554,824.47

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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.