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Finding the Third Proportional to 144,678 and 313,414

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Solution

The third proportional to 144,678 and 313,414 is: 678,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,678 : 313,414 = 313,414 : x
  2. Step 2: Convert to fraction form
    144,678/313,414 = 313,414/x
  3. Step 3: Cross multiply
    144,678x = 313,414 × 313,414
  4. Step 4: Simplify right side
    144,678x = 98,228,335,396
  5. Step 5: Solve for x
    x = 98,228,335,396/144,678
  6. Step 6: Final answer
    x = 678,944.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.