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Finding the Third Proportional to 256,836 and 340,884

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Solution

The third proportional to 256,836 and 340,884 is: 452,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,836 : 340,884 = 340,884 : x
  2. Step 2: Convert to fraction form
    256,836/340,884 = 340,884/x
  3. Step 3: Cross multiply
    256,836x = 340,884 × 340,884
  4. Step 4: Simplify right side
    256,836x = 116,201,901,456
  5. Step 5: Solve for x
    x = 116,201,901,456/256,836
  6. Step 6: Final answer
    x = 452,436.19

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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.