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Finding the Third Proportional to 256,204.50 and 364,969

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Solution

The third proportional to 256,204.50 and 364,969 is: 519,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,204.50 : 364,969 = 364,969 : x
  2. Step 2: Convert to fraction form
    256,204.50/364,969 = 364,969/x
  3. Step 3: Cross multiply
    256,204.50x = 364,969 × 364,969
  4. Step 4: Simplify right side
    256,204.50x = 133,202,370,961
  5. Step 5: Solve for x
    x = 133,202,370,961/256,204.50
  6. Step 6: Final answer
    x = 519,906.45

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Why These Related Problems?

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