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Finding the Third Proportional to 183,241 and 397,815

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Solution

The third proportional to 183,241 and 397,815 is: 863,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,241 : 397,815 = 397,815 : x
  2. Step 2: Convert to fraction form
    183,241/397,815 = 397,815/x
  3. Step 3: Cross multiply
    183,241x = 397,815 × 397,815
  4. Step 4: Simplify right side
    183,241x = 158,256,774,225
  5. Step 5: Solve for x
    x = 158,256,774,225/183,241
  6. Step 6: Final answer
    x = 863,653.74

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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.