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Finding the Third Proportional to 183,377.67 and 383,476.78

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Solution

The third proportional to 183,377.67 and 383,476.78 is: 801,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,377.67 : 383,476.78 = 383,476.78 : x
  2. Step 2: Convert to fraction form
    183,377.67/383,476.78 = 383,476.78/x
  3. Step 3: Cross multiply
    183,377.67x = 383,476.78 × 383,476.78
  4. Step 4: Simplify right side
    183,377.67x = 147,054,441,757.86
  5. Step 5: Solve for x
    x = 147,054,441,757.86/183,377.67
  6. Step 6: Final answer
    x = 801,921.19

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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.