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Finding the Third Proportional to 256,202.25 and 364,964.25

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Solution

The third proportional to 256,202.25 and 364,964.25 is: 519,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,202.25 : 364,964.25 = 364,964.25 : x
  2. Step 2: Convert to fraction form
    256,202.25/364,964.25 = 364,964.25/x
  3. Step 3: Cross multiply
    256,202.25x = 364,964.25 × 364,964.25
  4. Step 4: Simplify right side
    256,202.25x = 133,198,903,778.06
  5. Step 5: Solve for x
    x = 133,198,903,778.06/256,202.25
  6. Step 6: Final answer
    x = 519,897.48

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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.