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Finding the Third Proportional to 120,632 and 265,324

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Solution

The third proportional to 120,632 and 265,324 is: 583,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632 : 265,324 = 265,324 : x
  2. Step 2: Convert to fraction form
    120,632/265,324 = 265,324/x
  3. Step 3: Cross multiply
    120,632x = 265,324 × 265,324
  4. Step 4: Simplify right side
    120,632x = 70,396,824,976
  5. Step 5: Solve for x
    x = 70,396,824,976/120,632
  6. Step 6: Final answer
    x = 583,566.76

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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.