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Finding the Third Proportional to 193,420 and 410,064

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Solution

The third proportional to 193,420 and 410,064 is: 869,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,420 : 410,064 = 410,064 : x
  2. Step 2: Convert to fraction form
    193,420/410,064 = 410,064/x
  3. Step 3: Cross multiply
    193,420x = 410,064 × 410,064
  4. Step 4: Simplify right side
    193,420x = 168,152,484,096
  5. Step 5: Solve for x
    x = 168,152,484,096/193,420
  6. Step 6: Final answer
    x = 869,364.51

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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.