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Finding the Third Proportional to 193,223 and 291,293

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Solution

The third proportional to 193,223 and 291,293 is: 439,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,223 : 291,293 = 291,293 : x
  2. Step 2: Convert to fraction form
    193,223/291,293 = 291,293/x
  3. Step 3: Cross multiply
    193,223x = 291,293 × 291,293
  4. Step 4: Simplify right side
    193,223x = 84,851,611,849
  5. Step 5: Solve for x
    x = 84,851,611,849/193,223
  6. Step 6: Final answer
    x = 439,138.26

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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.