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Finding the Third Proportional to 234,555.75 and 377,667.56

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Solution

The third proportional to 234,555.75 and 377,667.56 is: 608,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,555.75 : 377,667.56 = 377,667.56 : x
  2. Step 2: Convert to fraction form
    234,555.75/377,667.56 = 377,667.56/x
  3. Step 3: Cross multiply
    234,555.75x = 377,667.56 × 377,667.56
  4. Step 4: Simplify right side
    234,555.75x = 142,632,787,764.69
  5. Step 5: Solve for x
    x = 142,632,787,764.69/234,555.75
  6. Step 6: Final answer
    x = 608,097.60

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.