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Finding the Third Proportional to 170,992 and 293,393

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Solution

The third proportional to 170,992 and 293,393 is: 503,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,992 : 293,393 = 293,393 : x
  2. Step 2: Convert to fraction form
    170,992/293,393 = 293,393/x
  3. Step 3: Cross multiply
    170,992x = 293,393 × 293,393
  4. Step 4: Simplify right side
    170,992x = 86,079,452,449
  5. Step 5: Solve for x
    x = 86,079,452,449/170,992
  6. Step 6: Final answer
    x = 503,412.16

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.