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Finding the Third Proportional to 117,388 and 244,504

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Solution

The third proportional to 117,388 and 244,504 is: 509,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,388 : 244,504 = 244,504 : x
  2. Step 2: Convert to fraction form
    117,388/244,504 = 244,504/x
  3. Step 3: Cross multiply
    117,388x = 244,504 × 244,504
  4. Step 4: Simplify right side
    117,388x = 59,782,206,016
  5. Step 5: Solve for x
    x = 59,782,206,016/117,388
  6. Step 6: Final answer
    x = 509,270.16

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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.