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Finding the Third Proportional to 189,948 and 281,994

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Solution

The third proportional to 189,948 and 281,994 is: 418,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,948 : 281,994 = 281,994 : x
  2. Step 2: Convert to fraction form
    189,948/281,994 = 281,994/x
  3. Step 3: Cross multiply
    189,948x = 281,994 × 281,994
  4. Step 4: Simplify right side
    189,948x = 79,520,616,036
  5. Step 5: Solve for x
    x = 79,520,616,036/189,948
  6. Step 6: Final answer
    x = 418,644.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.