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Finding the Third Proportional to 144,745.50 and 314,244

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Solution

The third proportional to 144,745.50 and 314,244 is: 682,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,745.50 : 314,244 = 314,244 : x
  2. Step 2: Convert to fraction form
    144,745.50/314,244 = 314,244/x
  3. Step 3: Cross multiply
    144,745.50x = 314,244 × 314,244
  4. Step 4: Simplify right side
    144,745.50x = 98,749,291,536
  5. Step 5: Solve for x
    x = 98,749,291,536/144,745.50
  6. Step 6: Final answer
    x = 682,227.02

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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.