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Finding the Third Proportional to 183,662.44 and 283,805.44

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Solution

The third proportional to 183,662.44 and 283,805.44 is: 438,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,662.44 : 283,805.44 = 283,805.44 : x
  2. Step 2: Convert to fraction form
    183,662.44/283,805.44 = 283,805.44/x
  3. Step 3: Cross multiply
    183,662.44x = 283,805.44 × 283,805.44
  4. Step 4: Simplify right side
    183,662.44x = 80,545,526,354.57
  5. Step 5: Solve for x
    x = 80,545,526,354.57/183,662.44
  6. Step 6: Final answer
    x = 438,551.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.