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Finding the Third Proportional to 256,844 and 340,804

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Solution

The third proportional to 256,844 and 340,804 is: 452,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,844 : 340,804 = 340,804 : x
  2. Step 2: Convert to fraction form
    256,844/340,804 = 340,804/x
  3. Step 3: Cross multiply
    256,844x = 340,804 × 340,804
  4. Step 4: Simplify right side
    256,844x = 116,147,366,416
  5. Step 5: Solve for x
    x = 116,147,366,416/256,844
  6. Step 6: Final answer
    x = 452,209.77

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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.