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Finding the Third Proportional to 146,796 and 281,927

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Solution

The third proportional to 146,796 and 281,927 is: 541,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,796 : 281,927 = 281,927 : x
  2. Step 2: Convert to fraction form
    146,796/281,927 = 281,927/x
  3. Step 3: Cross multiply
    146,796x = 281,927 × 281,927
  4. Step 4: Simplify right side
    146,796x = 79,482,833,329
  5. Step 5: Solve for x
    x = 79,482,833,329/146,796
  6. Step 6: Final answer
    x = 541,450.95

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.