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Finding the Third Proportional to 167,336 and 368,032

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Solution

The third proportional to 167,336 and 368,032 is: 809,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,336 : 368,032 = 368,032 : x
  2. Step 2: Convert to fraction form
    167,336/368,032 = 368,032/x
  3. Step 3: Cross multiply
    167,336x = 368,032 × 368,032
  4. Step 4: Simplify right side
    167,336x = 135,447,553,024
  5. Step 5: Solve for x
    x = 135,447,553,024/167,336
  6. Step 6: Final answer
    x = 809,434.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.