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Finding the Third Proportional to 144,661.50 and 313,107

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Solution

The third proportional to 144,661.50 and 313,107 is: 677,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,661.50 : 313,107 = 313,107 : x
  2. Step 2: Convert to fraction form
    144,661.50/313,107 = 313,107/x
  3. Step 3: Cross multiply
    144,661.50x = 313,107 × 313,107
  4. Step 4: Simplify right side
    144,661.50x = 98,035,993,449
  5. Step 5: Solve for x
    x = 98,035,993,449/144,661.50
  6. Step 6: Final answer
    x = 677,692.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.