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Finding the Third Proportional to 117,198 and 256,452

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Solution

The third proportional to 117,198 and 256,452 is: 561,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,198 : 256,452 = 256,452 : x
  2. Step 2: Convert to fraction form
    117,198/256,452 = 256,452/x
  3. Step 3: Cross multiply
    117,198x = 256,452 × 256,452
  4. Step 4: Simplify right side
    117,198x = 65,767,628,304
  5. Step 5: Solve for x
    x = 65,767,628,304/117,198
  6. Step 6: Final answer
    x = 561,166.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.