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Finding the Third Proportional to 193,189 and 284,196

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Solution

The third proportional to 193,189 and 284,196 is: 418,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,189 : 284,196 = 284,196 : x
  2. Step 2: Convert to fraction form
    193,189/284,196 = 284,196/x
  3. Step 3: Cross multiply
    193,189x = 284,196 × 284,196
  4. Step 4: Simplify right side
    193,189x = 80,767,366,416
  5. Step 5: Solve for x
    x = 80,767,366,416/193,189
  6. Step 6: Final answer
    x = 418,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.