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Finding the Third Proportional to 161,043 and 353,946

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Solution

The third proportional to 161,043 and 353,946 is: 777,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,043 : 353,946 = 353,946 : x
  2. Step 2: Convert to fraction form
    161,043/353,946 = 353,946/x
  3. Step 3: Cross multiply
    161,043x = 353,946 × 353,946
  4. Step 4: Simplify right side
    161,043x = 125,277,770,916
  5. Step 5: Solve for x
    x = 125,277,770,916/161,043
  6. Step 6: Final answer
    x = 777,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.