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Finding the Third Proportional to 183,453.50 and 383,552.50

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Solution

The third proportional to 183,453.50 and 383,552.50 is: 801,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,453.50 : 383,552.50 = 383,552.50 : x
  2. Step 2: Convert to fraction form
    183,453.50/383,552.50 = 383,552.50/x
  3. Step 3: Cross multiply
    183,453.50x = 383,552.50 × 383,552.50
  4. Step 4: Simplify right side
    183,453.50x = 147,112,520,256.25
  5. Step 5: Solve for x
    x = 147,112,520,256.25/183,453.50
  6. Step 6: Final answer
    x = 801,906.32

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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.