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Finding the Third Proportional to 184,804 and 340,811

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Solution

The third proportional to 184,804 and 340,811 is: 628,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804 : 340,811 = 340,811 : x
  2. Step 2: Convert to fraction form
    184,804/340,811 = 340,811/x
  3. Step 3: Cross multiply
    184,804x = 340,811 × 340,811
  4. Step 4: Simplify right side
    184,804x = 116,152,137,721
  5. Step 5: Solve for x
    x = 116,152,137,721/184,804
  6. Step 6: Final answer
    x = 628,515.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.