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Finding the Third Proportional to 168,238.69 and 258,594.19

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Solution

The third proportional to 168,238.69 and 258,594.19 is: 397,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,238.69 : 258,594.19 = 258,594.19 : x
  2. Step 2: Convert to fraction form
    168,238.69/258,594.19 = 258,594.19/x
  3. Step 3: Cross multiply
    168,238.69x = 258,594.19 × 258,594.19
  4. Step 4: Simplify right side
    168,238.69x = 66,870,953,808.79
  5. Step 5: Solve for x
    x = 66,870,953,808.79/168,238.69
  6. Step 6: Final answer
    x = 397,476.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.