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Finding the Third Proportional to 120,754 and 264,836

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Solution

The third proportional to 120,754 and 264,836 is: 580,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,754 : 264,836 = 264,836 : x
  2. Step 2: Convert to fraction form
    120,754/264,836 = 264,836/x
  3. Step 3: Cross multiply
    120,754x = 264,836 × 264,836
  4. Step 4: Simplify right side
    120,754x = 70,138,106,896
  5. Step 5: Solve for x
    x = 70,138,106,896/120,754
  6. Step 6: Final answer
    x = 580,834.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.