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Finding the Third Proportional to 167,016 and 294,354

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Solution

The third proportional to 167,016 and 294,354 is: 518,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,016 : 294,354 = 294,354 : x
  2. Step 2: Convert to fraction form
    167,016/294,354 = 294,354/x
  3. Step 3: Cross multiply
    167,016x = 294,354 × 294,354
  4. Step 4: Simplify right side
    167,016x = 86,644,277,316
  5. Step 5: Solve for x
    x = 86,644,277,316/167,016
  6. Step 6: Final answer
    x = 518,778.30

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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.