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Finding the Third Proportional to 141,891 and 305,310

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Solution

The third proportional to 141,891 and 305,310 is: 656,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,891 : 305,310 = 305,310 : x
  2. Step 2: Convert to fraction form
    141,891/305,310 = 305,310/x
  3. Step 3: Cross multiply
    141,891x = 305,310 × 305,310
  4. Step 4: Simplify right side
    141,891x = 93,214,196,100
  5. Step 5: Solve for x
    x = 93,214,196,100/141,891
  6. Step 6: Final answer
    x = 656,942.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.