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Finding the Third Proportional to 184,968.56 and 235,603.69

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Solution

The third proportional to 184,968.56 and 235,603.69 is: 300,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,968.56 : 235,603.69 = 235,603.69 : x
  2. Step 2: Convert to fraction form
    184,968.56/235,603.69 = 235,603.69/x
  3. Step 3: Cross multiply
    184,968.56x = 235,603.69 × 235,603.69
  4. Step 4: Simplify right side
    184,968.56x = 55,509,097,563.60
  5. Step 5: Solve for x
    x = 55,509,097,563.60/184,968.56
  6. Step 6: Final answer
    x = 300,100.17

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.