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Finding the Third Proportional to 141,794 and 309,344

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Solution

The third proportional to 141,794 and 309,344 is: 674,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,794 : 309,344 = 309,344 : x
  2. Step 2: Convert to fraction form
    141,794/309,344 = 309,344/x
  3. Step 3: Cross multiply
    141,794x = 309,344 × 309,344
  4. Step 4: Simplify right side
    141,794x = 95,693,710,336
  5. Step 5: Solve for x
    x = 95,693,710,336/141,794
  6. Step 6: Final answer
    x = 674,878.42

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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.