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Finding the Third Proportional to 141,183 and 310,014

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Solution

The third proportional to 141,183 and 310,014 is: 680,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,183 : 310,014 = 310,014 : x
  2. Step 2: Convert to fraction form
    141,183/310,014 = 310,014/x
  3. Step 3: Cross multiply
    141,183x = 310,014 × 310,014
  4. Step 4: Simplify right side
    141,183x = 96,108,680,196
  5. Step 5: Solve for x
    x = 96,108,680,196/141,183
  6. Step 6: Final answer
    x = 680,738.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.