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Finding the Third Proportional to 256,137.75 and 368,970.75

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Solution

The third proportional to 256,137.75 and 368,970.75 is: 531,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137.75 : 368,970.75 = 368,970.75 : x
  2. Step 2: Convert to fraction form
    256,137.75/368,970.75 = 368,970.75/x
  3. Step 3: Cross multiply
    256,137.75x = 368,970.75 × 368,970.75
  4. Step 4: Simplify right side
    256,137.75x = 136,139,414,355.56
  5. Step 5: Solve for x
    x = 136,139,414,355.56/256,137.75
  6. Step 6: Final answer
    x = 531,508.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.