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Finding the Third Proportional to 144,571.25 and 313,276.25

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Solution

The third proportional to 144,571.25 and 313,276.25 is: 678,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,571.25 : 313,276.25 = 313,276.25 : x
  2. Step 2: Convert to fraction form
    144,571.25/313,276.25 = 313,276.25/x
  3. Step 3: Cross multiply
    144,571.25x = 313,276.25 × 313,276.25
  4. Step 4: Simplify right side
    144,571.25x = 98,142,008,814.06
  5. Step 5: Solve for x
    x = 98,142,008,814.06/144,571.25
  6. Step 6: Final answer
    x = 678,848.73

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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.