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Finding the Third Proportional to 120,538.13 and 264,880.13

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Solution

The third proportional to 120,538.13 and 264,880.13 is: 582,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.13 : 264,880.13 = 264,880.13 : x
  2. Step 2: Convert to fraction form
    120,538.13/264,880.13 = 264,880.13/x
  3. Step 3: Cross multiply
    120,538.13x = 264,880.13 × 264,880.13
  4. Step 4: Simplify right side
    120,538.13x = 70,161,480,620.02
  5. Step 5: Solve for x
    x = 70,161,480,620.02/120,538.13
  6. Step 6: Final answer
    x = 582,068.79

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Why These Related Problems?

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