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Finding the Third Proportional to 128,186 and 194,191

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Solution

The third proportional to 128,186 and 194,191 is: 294,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,186 : 194,191 = 194,191 : x
  2. Step 2: Convert to fraction form
    128,186/194,191 = 194,191/x
  3. Step 3: Cross multiply
    128,186x = 194,191 × 194,191
  4. Step 4: Simplify right side
    128,186x = 37,710,144,481
  5. Step 5: Solve for x
    x = 37,710,144,481/128,186
  6. Step 6: Final answer
    x = 294,183.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.