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Finding the Third Proportional to 144,828 and 303,500.25

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Solution

The third proportional to 144,828 and 303,500.25 is: 636,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,828 : 303,500.25 = 303,500.25 : x
  2. Step 2: Convert to fraction form
    144,828/303,500.25 = 303,500.25/x
  3. Step 3: Cross multiply
    144,828x = 303,500.25 × 303,500.25
  4. Step 4: Simplify right side
    144,828x = 92,112,401,750.06
  5. Step 5: Solve for x
    x = 92,112,401,750.06/144,828
  6. Step 6: Final answer
    x = 636,012.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.