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Finding the Third Proportional to 193,225 and 291,296

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Solution

The third proportional to 193,225 and 291,296 is: 439,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,225 : 291,296 = 291,296 : x
  2. Step 2: Convert to fraction form
    193,225/291,296 = 291,296/x
  3. Step 3: Cross multiply
    193,225x = 291,296 × 291,296
  4. Step 4: Simplify right side
    193,225x = 84,853,359,616
  5. Step 5: Solve for x
    x = 84,853,359,616/193,225
  6. Step 6: Final answer
    x = 439,142.76

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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.