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Finding the Third Proportional to 120,960 and 262,692

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Solution

The third proportional to 120,960 and 262,692 is: 570,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960 : 262,692 = 262,692 : x
  2. Step 2: Convert to fraction form
    120,960/262,692 = 262,692/x
  3. Step 3: Cross multiply
    120,960x = 262,692 × 262,692
  4. Step 4: Simplify right side
    120,960x = 69,007,086,864
  5. Step 5: Solve for x
    x = 69,007,086,864/120,960
  6. Step 6: Final answer
    x = 570,495.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.