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Finding the Third Proportional to 161,420 and 342,064

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Solution

The third proportional to 161,420 and 342,064 is: 724,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420 : 342,064 = 342,064 : x
  2. Step 2: Convert to fraction form
    161,420/342,064 = 342,064/x
  3. Step 3: Cross multiply
    161,420x = 342,064 × 342,064
  4. Step 4: Simplify right side
    161,420x = 117,007,780,096
  5. Step 5: Solve for x
    x = 117,007,780,096/161,420
  6. Step 6: Final answer
    x = 724,865.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.