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Finding the Third Proportional to 183,292.50 and 383,344

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Solution

The third proportional to 183,292.50 and 383,344 is: 801,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,292.50 : 383,344 = 383,344 : x
  2. Step 2: Convert to fraction form
    183,292.50/383,344 = 383,344/x
  3. Step 3: Cross multiply
    183,292.50x = 383,344 × 383,344
  4. Step 4: Simplify right side
    183,292.50x = 146,952,622,336
  5. Step 5: Solve for x
    x = 146,952,622,336/183,292.50
  6. Step 6: Final answer
    x = 801,738.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.