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Finding the Third Proportional to 259,194.75 and 405,711.75

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Solution

The third proportional to 259,194.75 and 405,711.75 is: 635,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,194.75 : 405,711.75 = 405,711.75 : x
  2. Step 2: Convert to fraction form
    259,194.75/405,711.75 = 405,711.75/x
  3. Step 3: Cross multiply
    259,194.75x = 405,711.75 × 405,711.75
  4. Step 4: Simplify right side
    259,194.75x = 164,602,024,088.06
  5. Step 5: Solve for x
    x = 164,602,024,088.06/259,194.75
  6. Step 6: Final answer
    x = 635,051.54

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