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Finding the Third Proportional to 158,736 and 255,216

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Solution

The third proportional to 158,736 and 255,216 is: 410,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,736 : 255,216 = 255,216 : x
  2. Step 2: Convert to fraction form
    158,736/255,216 = 255,216/x
  3. Step 3: Cross multiply
    158,736x = 255,216 × 255,216
  4. Step 4: Simplify right side
    158,736x = 65,135,206,656
  5. Step 5: Solve for x
    x = 65,135,206,656/158,736
  6. Step 6: Final answer
    x = 410,336.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.