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Finding the Third Proportional to 120,804 and 265,767

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Solution

The third proportional to 120,804 and 265,767 is: 584,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 265,767 = 265,767 : x
  2. Step 2: Convert to fraction form
    120,804/265,767 = 265,767/x
  3. Step 3: Cross multiply
    120,804x = 265,767 × 265,767
  4. Step 4: Simplify right side
    120,804x = 70,632,098,289
  5. Step 5: Solve for x
    x = 70,632,098,289/120,804
  6. Step 6: Final answer
    x = 584,683.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.