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Finding the Third Proportional to 183,529.50 and 258,449

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Solution

The third proportional to 183,529.50 and 258,449 is: 363,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,529.50 : 258,449 = 258,449 : x
  2. Step 2: Convert to fraction form
    183,529.50/258,449 = 258,449/x
  3. Step 3: Cross multiply
    183,529.50x = 258,449 × 258,449
  4. Step 4: Simplify right side
    183,529.50x = 66,795,885,601
  5. Step 5: Solve for x
    x = 66,795,885,601/183,529.50
  6. Step 6: Final answer
    x = 363,951.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.