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Finding the Third Proportional to 141,790 and 306,852

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Solution

The third proportional to 141,790 and 306,852 is: 664,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,790 : 306,852 = 306,852 : x
  2. Step 2: Convert to fraction form
    141,790/306,852 = 306,852/x
  3. Step 3: Cross multiply
    141,790x = 306,852 × 306,852
  4. Step 4: Simplify right side
    141,790x = 94,158,149,904
  5. Step 5: Solve for x
    x = 94,158,149,904/141,790
  6. Step 6: Final answer
    x = 664,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.