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Finding the Third Proportional to 256,210 and 364,975

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Solution

The third proportional to 256,210 and 364,975 is: 519,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,210 : 364,975 = 364,975 : x
  2. Step 2: Convert to fraction form
    256,210/364,975 = 364,975/x
  3. Step 3: Cross multiply
    256,210x = 364,975 × 364,975
  4. Step 4: Simplify right side
    256,210x = 133,206,750,625
  5. Step 5: Solve for x
    x = 133,206,750,625/256,210
  6. Step 6: Final answer
    x = 519,912.38

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.