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Finding the Third Proportional to 120,419.25 and 264,675

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Solution

The third proportional to 120,419.25 and 264,675 is: 581,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,419.25 : 264,675 = 264,675 : x
  2. Step 2: Convert to fraction form
    120,419.25/264,675 = 264,675/x
  3. Step 3: Cross multiply
    120,419.25x = 264,675 × 264,675
  4. Step 4: Simplify right side
    120,419.25x = 70,052,855,625
  5. Step 5: Solve for x
    x = 70,052,855,625/120,419.25
  6. Step 6: Final answer
    x = 581,741.34

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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.