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Finding the Third Proportional to 256,819.50 and 395,253

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Solution

The third proportional to 256,819.50 and 395,253 is: 608,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819.50 : 395,253 = 395,253 : x
  2. Step 2: Convert to fraction form
    256,819.50/395,253 = 395,253/x
  3. Step 3: Cross multiply
    256,819.50x = 395,253 × 395,253
  4. Step 4: Simplify right side
    256,819.50x = 156,224,934,009
  5. Step 5: Solve for x
    x = 156,224,934,009/256,819.50
  6. Step 6: Final answer
    x = 608,306.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.