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Finding the Third Proportional to 188,364 and 392,064

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Solution

The third proportional to 188,364 and 392,064 is: 816,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,364 : 392,064 = 392,064 : x
  2. Step 2: Convert to fraction form
    188,364/392,064 = 392,064/x
  3. Step 3: Cross multiply
    188,364x = 392,064 × 392,064
  4. Step 4: Simplify right side
    188,364x = 153,714,180,096
  5. Step 5: Solve for x
    x = 153,714,180,096/188,364
  6. Step 6: Final answer
    x = 816,048.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.