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Finding the Third Proportional to 113,015 and 237,667

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Solution

The third proportional to 113,015 and 237,667 is: 499,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,015 : 237,667 = 237,667 : x
  2. Step 2: Convert to fraction form
    113,015/237,667 = 237,667/x
  3. Step 3: Cross multiply
    113,015x = 237,667 × 237,667
  4. Step 4: Simplify right side
    113,015x = 56,485,602,889
  5. Step 5: Solve for x
    x = 56,485,602,889/113,015
  6. Step 6: Final answer
    x = 499,806.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.