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Finding the Third Proportional to 256,908 and 395,190

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Solution

The third proportional to 256,908 and 395,190 is: 607,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,908 : 395,190 = 395,190 : x
  2. Step 2: Convert to fraction form
    256,908/395,190 = 395,190/x
  3. Step 3: Cross multiply
    256,908x = 395,190 × 395,190
  4. Step 4: Simplify right side
    256,908x = 156,175,136,100
  5. Step 5: Solve for x
    x = 156,175,136,100/256,908
  6. Step 6: Final answer
    x = 607,902.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.