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Finding the Third Proportional to 237,109 and 355,667

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Solution

The third proportional to 237,109 and 355,667 is: 533,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,109 : 355,667 = 355,667 : x
  2. Step 2: Convert to fraction form
    237,109/355,667 = 355,667/x
  3. Step 3: Cross multiply
    237,109x = 355,667 × 355,667
  4. Step 4: Simplify right side
    237,109x = 126,499,014,889
  5. Step 5: Solve for x
    x = 126,499,014,889/237,109
  6. Step 6: Final answer
    x = 533,505.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.