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Finding the Third Proportional to 117,284 and 181,680

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Solution

The third proportional to 117,284 and 181,680 is: 281,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284 : 181,680 = 181,680 : x
  2. Step 2: Convert to fraction form
    117,284/181,680 = 181,680/x
  3. Step 3: Cross multiply
    117,284x = 181,680 × 181,680
  4. Step 4: Simplify right side
    117,284x = 33,007,622,400
  5. Step 5: Solve for x
    x = 33,007,622,400/117,284
  6. Step 6: Final answer
    x = 281,433.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.