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Finding the Third Proportional to 256,845 and 340,804.50

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Solution

The third proportional to 256,845 and 340,804.50 is: 452,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,845 : 340,804.50 = 340,804.50 : x
  2. Step 2: Convert to fraction form
    256,845/340,804.50 = 340,804.50/x
  3. Step 3: Cross multiply
    256,845x = 340,804.50 × 340,804.50
  4. Step 4: Simplify right side
    256,845x = 116,147,707,220.25
  5. Step 5: Solve for x
    x = 116,147,707,220.25/256,845
  6. Step 6: Final answer
    x = 452,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.