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Finding the Third Proportional to 190,272 and 392,064

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Solution

The third proportional to 190,272 and 392,064 is: 807,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,272 : 392,064 = 392,064 : x
  2. Step 2: Convert to fraction form
    190,272/392,064 = 392,064/x
  3. Step 3: Cross multiply
    190,272x = 392,064 × 392,064
  4. Step 4: Simplify right side
    190,272x = 153,714,180,096
  5. Step 5: Solve for x
    x = 153,714,180,096/190,272
  6. Step 6: Final answer
    x = 807,865.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.