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Finding the Third Proportional to 164,014 and 355,231

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Solution

The third proportional to 164,014 and 355,231 is: 769,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,014 : 355,231 = 355,231 : x
  2. Step 2: Convert to fraction form
    164,014/355,231 = 355,231/x
  3. Step 3: Cross multiply
    164,014x = 355,231 × 355,231
  4. Step 4: Simplify right side
    164,014x = 126,189,063,361
  5. Step 5: Solve for x
    x = 126,189,063,361/164,014
  6. Step 6: Final answer
    x = 769,379.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.