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Finding the Third Proportional to 193,597 and 284,047

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Solution

The third proportional to 193,597 and 284,047 is: 416,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,597 : 284,047 = 284,047 : x
  2. Step 2: Convert to fraction form
    193,597/284,047 = 284,047/x
  3. Step 3: Cross multiply
    193,597x = 284,047 × 284,047
  4. Step 4: Simplify right side
    193,597x = 80,682,698,209
  5. Step 5: Solve for x
    x = 80,682,698,209/193,597
  6. Step 6: Final answer
    x = 416,755.93

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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.