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Finding the Third Proportional to 256,783.50 and 385,951.50

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Solution

The third proportional to 256,783.50 and 385,951.50 is: 580,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,783.50 : 385,951.50 = 385,951.50 : x
  2. Step 2: Convert to fraction form
    256,783.50/385,951.50 = 385,951.50/x
  3. Step 3: Cross multiply
    256,783.50x = 385,951.50 × 385,951.50
  4. Step 4: Simplify right side
    256,783.50x = 148,958,560,352.25
  5. Step 5: Solve for x
    x = 148,958,560,352.25/256,783.50
  6. Step 6: Final answer
    x = 580,093.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.