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Finding the Third Proportional to 114,660 and 238,032

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Solution

The third proportional to 114,660 and 238,032 is: 494,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,660 : 238,032 = 238,032 : x
  2. Step 2: Convert to fraction form
    114,660/238,032 = 238,032/x
  3. Step 3: Cross multiply
    114,660x = 238,032 × 238,032
  4. Step 4: Simplify right side
    114,660x = 56,659,233,024
  5. Step 5: Solve for x
    x = 56,659,233,024/114,660
  6. Step 6: Final answer
    x = 494,149.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.