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Finding the Third Proportional to 117,504 and 261,168

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Solution

The third proportional to 117,504 and 261,168 is: 580,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 261,168 = 261,168 : x
  2. Step 2: Convert to fraction form
    117,504/261,168 = 261,168/x
  3. Step 3: Cross multiply
    117,504x = 261,168 × 261,168
  4. Step 4: Simplify right side
    117,504x = 68,208,724,224
  5. Step 5: Solve for x
    x = 68,208,724,224/117,504
  6. Step 6: Final answer
    x = 580,480.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.