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Finding the Third Proportional to 120,419 and 264,674

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Solution

The third proportional to 120,419 and 264,674 is: 581,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,419 : 264,674 = 264,674 : x
  2. Step 2: Convert to fraction form
    120,419/264,674 = 264,674/x
  3. Step 3: Cross multiply
    120,419x = 264,674 × 264,674
  4. Step 4: Simplify right side
    120,419x = 70,052,326,276
  5. Step 5: Solve for x
    x = 70,052,326,276/120,419
  6. Step 6: Final answer
    x = 581,738.15

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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.