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Finding the Third Proportional to 259,196.75 and 405,724.75

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Solution

The third proportional to 259,196.75 and 405,724.75 is: 635,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,196.75 : 405,724.75 = 405,724.75 : x
  2. Step 2: Convert to fraction form
    259,196.75/405,724.75 = 405,724.75/x
  3. Step 3: Cross multiply
    259,196.75x = 405,724.75 × 405,724.75
  4. Step 4: Simplify right side
    259,196.75x = 164,612,572,762.56
  5. Step 5: Solve for x
    x = 164,612,572,762.56/259,196.75
  6. Step 6: Final answer
    x = 635,087.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.