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Finding the Third Proportional to 164,286 and 353,104

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Solution

The third proportional to 164,286 and 353,104 is: 758,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,286 : 353,104 = 353,104 : x
  2. Step 2: Convert to fraction form
    164,286/353,104 = 353,104/x
  3. Step 3: Cross multiply
    164,286x = 353,104 × 353,104
  4. Step 4: Simplify right side
    164,286x = 124,682,434,816
  5. Step 5: Solve for x
    x = 124,682,434,816/164,286
  6. Step 6: Final answer
    x = 758,935.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.