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Finding the Third Proportional to 190,903 and 376,984

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Solution

The third proportional to 190,903 and 376,984 is: 744,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,903 : 376,984 = 376,984 : x
  2. Step 2: Convert to fraction form
    190,903/376,984 = 376,984/x
  3. Step 3: Cross multiply
    190,903x = 376,984 × 376,984
  4. Step 4: Simplify right side
    190,903x = 142,116,936,256
  5. Step 5: Solve for x
    x = 142,116,936,256/190,903
  6. Step 6: Final answer
    x = 744,445.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.