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Finding the Third Proportional to 117,541 and 258,407

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Solution

The third proportional to 117,541 and 258,407 is: 568,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,541 : 258,407 = 258,407 : x
  2. Step 2: Convert to fraction form
    117,541/258,407 = 258,407/x
  3. Step 3: Cross multiply
    117,541x = 258,407 × 258,407
  4. Step 4: Simplify right side
    117,541x = 66,774,177,649
  5. Step 5: Solve for x
    x = 66,774,177,649/117,541
  6. Step 6: Final answer
    x = 568,092.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.