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Finding the Third Proportional to 144,256 and 313,908

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Solution

The third proportional to 144,256 and 313,908 is: 683,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256 : 313,908 = 313,908 : x
  2. Step 2: Convert to fraction form
    144,256/313,908 = 313,908/x
  3. Step 3: Cross multiply
    144,256x = 313,908 × 313,908
  4. Step 4: Simplify right side
    144,256x = 98,538,232,464
  5. Step 5: Solve for x
    x = 98,538,232,464/144,256
  6. Step 6: Final answer
    x = 683,078.92

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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.