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Finding the Third Proportional to 233,745.75 and 334,266.75

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Solution

The third proportional to 233,745.75 and 334,266.75 is: 478,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,745.75 : 334,266.75 = 334,266.75 : x
  2. Step 2: Convert to fraction form
    233,745.75/334,266.75 = 334,266.75/x
  3. Step 3: Cross multiply
    233,745.75x = 334,266.75 × 334,266.75
  4. Step 4: Simplify right side
    233,745.75x = 111,734,260,155.56
  5. Step 5: Solve for x
    x = 111,734,260,155.56/233,745.75
  6. Step 6: Final answer
    x = 478,016.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.