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Finding the Third Proportional to 183,662.25 and 283,805.25

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Solution

The third proportional to 183,662.25 and 283,805.25 is: 438,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,662.25 : 283,805.25 = 283,805.25 : x
  2. Step 2: Convert to fraction form
    183,662.25/283,805.25 = 283,805.25/x
  3. Step 3: Cross multiply
    183,662.25x = 283,805.25 × 283,805.25
  4. Step 4: Simplify right side
    183,662.25x = 80,545,419,927.56
  5. Step 5: Solve for x
    x = 80,545,419,927.56/183,662.25
  6. Step 6: Final answer
    x = 438,551.85

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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.