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Finding the Third Proportional to 161,116 and 349,912

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Solution

The third proportional to 161,116 and 349,912 is: 759,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,116 : 349,912 = 349,912 : x
  2. Step 2: Convert to fraction form
    161,116/349,912 = 349,912/x
  3. Step 3: Cross multiply
    161,116x = 349,912 × 349,912
  4. Step 4: Simplify right side
    161,116x = 122,438,407,744
  5. Step 5: Solve for x
    x = 122,438,407,744/161,116
  6. Step 6: Final answer
    x = 759,939.47

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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.