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Finding the Third Proportional to 84,880 and 184,364

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Solution

The third proportional to 84,880 and 184,364 is: 400,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,880 : 184,364 = 184,364 : x
  2. Step 2: Convert to fraction form
    84,880/184,364 = 184,364/x
  3. Step 3: Cross multiply
    84,880x = 184,364 × 184,364
  4. Step 4: Simplify right side
    84,880x = 33,990,084,496
  5. Step 5: Solve for x
    x = 33,990,084,496/84,880
  6. Step 6: Final answer
    x = 400,448.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.