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Finding the Third Proportional to 180,418 and 408,064

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Solution

The third proportional to 180,418 and 408,064 is: 922,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,418 : 408,064 = 408,064 : x
  2. Step 2: Convert to fraction form
    180,418/408,064 = 408,064/x
  3. Step 3: Cross multiply
    180,418x = 408,064 × 408,064
  4. Step 4: Simplify right side
    180,418x = 166,516,228,096
  5. Step 5: Solve for x
    x = 166,516,228,096/180,418
  6. Step 6: Final answer
    x = 922,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.