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Finding the Third Proportional to 225,833 and 338,000

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Solution

The third proportional to 225,833 and 338,000 is: 505,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833 : 338,000 = 338,000 : x
  2. Step 2: Convert to fraction form
    225,833/338,000 = 338,000/x
  3. Step 3: Cross multiply
    225,833x = 338,000 × 338,000
  4. Step 4: Simplify right side
    225,833x = 114,244,000,000
  5. Step 5: Solve for x
    x = 114,244,000,000/225,833
  6. Step 6: Final answer
    x = 505,878.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.