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Finding the Third Proportional to 119,596 and 281,920

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Solution

The third proportional to 119,596 and 281,920 is: 664,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,596 : 281,920 = 281,920 : x
  2. Step 2: Convert to fraction form
    119,596/281,920 = 281,920/x
  3. Step 3: Cross multiply
    119,596x = 281,920 × 281,920
  4. Step 4: Simplify right side
    119,596x = 79,478,886,400
  5. Step 5: Solve for x
    x = 79,478,886,400/119,596
  6. Step 6: Final answer
    x = 664,561.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.