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Finding the Third Proportional to 184,976 and 399,088

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Solution

The third proportional to 184,976 and 399,088 is: 861,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,976 : 399,088 = 399,088 : x
  2. Step 2: Convert to fraction form
    184,976/399,088 = 399,088/x
  3. Step 3: Cross multiply
    184,976x = 399,088 × 399,088
  4. Step 4: Simplify right side
    184,976x = 159,271,231,744
  5. Step 5: Solve for x
    x = 159,271,231,744/184,976
  6. Step 6: Final answer
    x = 861,037.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.