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Finding the Third Proportional to 197,278 and 282,096

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Solution

The third proportional to 197,278 and 282,096 is: 403,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,278 : 282,096 = 282,096 : x
  2. Step 2: Convert to fraction form
    197,278/282,096 = 282,096/x
  3. Step 3: Cross multiply
    197,278x = 282,096 × 282,096
  4. Step 4: Simplify right side
    197,278x = 79,578,153,216
  5. Step 5: Solve for x
    x = 79,578,153,216/197,278
  6. Step 6: Final answer
    x = 403,380.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.