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Finding the Third Proportional to 109,667 and 235,966

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Solution

The third proportional to 109,667 and 235,966 is: 507,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,667 : 235,966 = 235,966 : x
  2. Step 2: Convert to fraction form
    109,667/235,966 = 235,966/x
  3. Step 3: Cross multiply
    109,667x = 235,966 × 235,966
  4. Step 4: Simplify right side
    109,667x = 55,679,953,156
  5. Step 5: Solve for x
    x = 55,679,953,156/109,667
  6. Step 6: Final answer
    x = 507,718.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.