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Finding the Third Proportional to 159,889 and 230,994

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Solution

The third proportional to 159,889 and 230,994 is: 333,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,889 : 230,994 = 230,994 : x
  2. Step 2: Convert to fraction form
    159,889/230,994 = 230,994/x
  3. Step 3: Cross multiply
    159,889x = 230,994 × 230,994
  4. Step 4: Simplify right side
    159,889x = 53,358,228,036
  5. Step 5: Solve for x
    x = 53,358,228,036/159,889
  6. Step 6: Final answer
    x = 333,720.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.