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Finding the Third Proportional to 167,014 and 294,350

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Solution

The third proportional to 167,014 and 294,350 is: 518,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,014 : 294,350 = 294,350 : x
  2. Step 2: Convert to fraction form
    167,014/294,350 = 294,350/x
  3. Step 3: Cross multiply
    167,014x = 294,350 × 294,350
  4. Step 4: Simplify right side
    167,014x = 86,641,922,500
  5. Step 5: Solve for x
    x = 86,641,922,500/167,014
  6. Step 6: Final answer
    x = 518,770.42

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.