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Finding the Third Proportional to 183,008 and 285,200

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Solution

The third proportional to 183,008 and 285,200 is: 444,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,008 : 285,200 = 285,200 : x
  2. Step 2: Convert to fraction form
    183,008/285,200 = 285,200/x
  3. Step 3: Cross multiply
    183,008x = 285,200 × 285,200
  4. Step 4: Simplify right side
    183,008x = 81,339,040,000
  5. Step 5: Solve for x
    x = 81,339,040,000/183,008
  6. Step 6: Final answer
    x = 444,456.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.