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Finding the Third Proportional to 144,768.75 and 208,848

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Solution

The third proportional to 144,768.75 and 208,848 is: 301,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,768.75 : 208,848 = 208,848 : x
  2. Step 2: Convert to fraction form
    144,768.75/208,848 = 208,848/x
  3. Step 3: Cross multiply
    144,768.75x = 208,848 × 208,848
  4. Step 4: Simplify right side
    144,768.75x = 43,617,487,104
  5. Step 5: Solve for x
    x = 43,617,487,104/144,768.75
  6. Step 6: Final answer
    x = 301,290.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.