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Finding the Third Proportional to 259,188.75 and 405,712.75

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Solution

The third proportional to 259,188.75 and 405,712.75 is: 635,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,188.75 : 405,712.75 = 405,712.75 : x
  2. Step 2: Convert to fraction form
    259,188.75/405,712.75 = 405,712.75/x
  3. Step 3: Cross multiply
    259,188.75x = 405,712.75 × 405,712.75
  4. Step 4: Simplify right side
    259,188.75x = 164,602,835,512.56
  5. Step 5: Solve for x
    x = 164,602,835,512.56/259,188.75
  6. Step 6: Final answer
    x = 635,069.37

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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.