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Finding the Third Proportional to 120,927.94 and 256,270.08

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Solution

The third proportional to 120,927.94 and 256,270.08 is: 543,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,927.94 : 256,270.08 = 256,270.08 : x
  2. Step 2: Convert to fraction form
    120,927.94/256,270.08 = 256,270.08/x
  3. Step 3: Cross multiply
    120,927.94x = 256,270.08 × 256,270.08
  4. Step 4: Simplify right side
    120,927.94x = 65,674,352,942.19
  5. Step 5: Solve for x
    x = 65,674,352,942.19/120,927.94
  6. Step 6: Final answer
    x = 543,086.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.