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Finding the Third Proportional to 256,425.75 and 308,093.63

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Solution

The third proportional to 256,425.75 and 308,093.63 is: 370,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,425.75 : 308,093.63 = 308,093.63 : x
  2. Step 2: Convert to fraction form
    256,425.75/308,093.63 = 308,093.63/x
  3. Step 3: Cross multiply
    256,425.75x = 308,093.63 × 308,093.63
  4. Step 4: Simplify right side
    256,425.75x = 94,921,681,765.64
  5. Step 5: Solve for x
    x = 94,921,681,765.64/256,425.75
  6. Step 6: Final answer
    x = 370,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.