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Finding the Third Proportional to 138,016 and 326,032

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Solution

The third proportional to 138,016 and 326,032 is: 770,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,016 : 326,032 = 326,032 : x
  2. Step 2: Convert to fraction form
    138,016/326,032 = 326,032/x
  3. Step 3: Cross multiply
    138,016x = 326,032 × 326,032
  4. Step 4: Simplify right side
    138,016x = 106,296,865,024
  5. Step 5: Solve for x
    x = 106,296,865,024/138,016
  6. Step 6: Final answer
    x = 770,177.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.