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Finding the Third Proportional to 159,161 and 343,228

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Solution

The third proportional to 159,161 and 343,228 is: 740,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,161 : 343,228 = 343,228 : x
  2. Step 2: Convert to fraction form
    159,161/343,228 = 343,228/x
  3. Step 3: Cross multiply
    159,161x = 343,228 × 343,228
  4. Step 4: Simplify right side
    159,161x = 117,805,459,984
  5. Step 5: Solve for x
    x = 117,805,459,984/159,161
  6. Step 6: Final answer
    x = 740,165.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.