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Finding the Third Proportional to 168,064 and 364,383

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Solution

The third proportional to 168,064 and 364,383 is: 790,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064 : 364,383 = 364,383 : x
  2. Step 2: Convert to fraction form
    168,064/364,383 = 364,383/x
  3. Step 3: Cross multiply
    168,064x = 364,383 × 364,383
  4. Step 4: Simplify right side
    168,064x = 132,774,970,689
  5. Step 5: Solve for x
    x = 132,774,970,689/168,064
  6. Step 6: Final answer
    x = 790,026.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.