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Finding the Third Proportional to 144,828 and 209,749.50

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Solution

The third proportional to 144,828 and 209,749.50 is: 303,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,828 : 209,749.50 = 209,749.50 : x
  2. Step 2: Convert to fraction form
    144,828/209,749.50 = 209,749.50/x
  3. Step 3: Cross multiply
    144,828x = 209,749.50 × 209,749.50
  4. Step 4: Simplify right side
    144,828x = 43,994,852,750.25
  5. Step 5: Solve for x
    x = 43,994,852,750.25/144,828
  6. Step 6: Final answer
    x = 303,773.12

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.