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Finding the Third Proportional to 141,794 and 309,346

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Solution

The third proportional to 141,794 and 309,346 is: 674,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,794 : 309,346 = 309,346 : x
  2. Step 2: Convert to fraction form
    141,794/309,346 = 309,346/x
  3. Step 3: Cross multiply
    141,794x = 309,346 × 309,346
  4. Step 4: Simplify right side
    141,794x = 95,694,947,716
  5. Step 5: Solve for x
    x = 95,694,947,716/141,794
  6. Step 6: Final answer
    x = 674,887.14

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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.