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Finding the Third Proportional to 118,197 and 256,085

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Solution

The third proportional to 118,197 and 256,085 is: 554,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,197 : 256,085 = 256,085 : x
  2. Step 2: Convert to fraction form
    118,197/256,085 = 256,085/x
  3. Step 3: Cross multiply
    118,197x = 256,085 × 256,085
  4. Step 4: Simplify right side
    118,197x = 65,579,527,225
  5. Step 5: Solve for x
    x = 65,579,527,225/118,197
  6. Step 6: Final answer
    x = 554,832.42

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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.