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Finding the Third Proportional to 233,659.69 and 350,097.19

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Solution

The third proportional to 233,659.69 and 350,097.19 is: 524,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,659.69 : 350,097.19 = 350,097.19 : x
  2. Step 2: Convert to fraction form
    233,659.69/350,097.19 = 350,097.19/x
  3. Step 3: Cross multiply
    233,659.69x = 350,097.19 × 350,097.19
  4. Step 4: Simplify right side
    233,659.69x = 122,568,040,695.41
  5. Step 5: Solve for x
    x = 122,568,040,695.41/233,659.69
  6. Step 6: Final answer
    x = 524,557.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.