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Finding the Third Proportional to 117,176 and 255,736

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Solution

The third proportional to 117,176 and 255,736 is: 558,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,176 : 255,736 = 255,736 : x
  2. Step 2: Convert to fraction form
    117,176/255,736 = 255,736/x
  3. Step 3: Cross multiply
    117,176x = 255,736 × 255,736
  4. Step 4: Simplify right side
    117,176x = 65,400,901,696
  5. Step 5: Solve for x
    x = 65,400,901,696/117,176
  6. Step 6: Final answer
    x = 558,142.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.