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Finding the Third Proportional to 117,582.75 and 258,575.25

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Solution

The third proportional to 117,582.75 and 258,575.25 is: 568,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,582.75 : 258,575.25 = 258,575.25 : x
  2. Step 2: Convert to fraction form
    117,582.75/258,575.25 = 258,575.25/x
  3. Step 3: Cross multiply
    117,582.75x = 258,575.25 × 258,575.25
  4. Step 4: Simplify right side
    117,582.75x = 66,861,159,912.56
  5. Step 5: Solve for x
    x = 66,861,159,912.56/117,582.75
  6. Step 6: Final answer
    x = 568,630.69

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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.