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Finding the Third Proportional to 130,967 and 285,923

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Solution

The third proportional to 130,967 and 285,923 is: 624,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,967 : 285,923 = 285,923 : x
  2. Step 2: Convert to fraction form
    130,967/285,923 = 285,923/x
  3. Step 3: Cross multiply
    130,967x = 285,923 × 285,923
  4. Step 4: Simplify right side
    130,967x = 81,751,961,929
  5. Step 5: Solve for x
    x = 81,751,961,929/130,967
  6. Step 6: Final answer
    x = 624,218.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.