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Finding the Third Proportional to 183,193.75 and 397,720.38

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Solution

The third proportional to 183,193.75 and 397,720.38 is: 863,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,193.75 : 397,720.38 = 397,720.38 : x
  2. Step 2: Convert to fraction form
    183,193.75/397,720.38 = 397,720.38/x
  3. Step 3: Cross multiply
    183,193.75x = 397,720.38 × 397,720.38
  4. Step 4: Simplify right side
    183,193.75x = 158,181,496,690.14
  5. Step 5: Solve for x
    x = 158,181,496,690.14/183,193.75
  6. Step 6: Final answer
    x = 863,465.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.