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Finding the Third Proportional to 141,504 and 209,016

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Solution

The third proportional to 141,504 and 209,016 is: 308,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504 : 209,016 = 209,016 : x
  2. Step 2: Convert to fraction form
    141,504/209,016 = 209,016/x
  3. Step 3: Cross multiply
    141,504x = 209,016 × 209,016
  4. Step 4: Simplify right side
    141,504x = 43,687,688,256
  5. Step 5: Solve for x
    x = 43,687,688,256/141,504
  6. Step 6: Final answer
    x = 308,738.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.