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Finding the Third Proportional to 141,414 and 307,797

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Solution

The third proportional to 141,414 and 307,797 is: 669,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,414 : 307,797 = 307,797 : x
  2. Step 2: Convert to fraction form
    141,414/307,797 = 307,797/x
  3. Step 3: Cross multiply
    141,414x = 307,797 × 307,797
  4. Step 4: Simplify right side
    141,414x = 94,738,993,209
  5. Step 5: Solve for x
    x = 94,738,993,209/141,414
  6. Step 6: Final answer
    x = 669,940.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.