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Finding the Third Proportional to 84,208 and 185,984

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Solution

The third proportional to 84,208 and 185,984 is: 410,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,208 : 185,984 = 185,984 : x
  2. Step 2: Convert to fraction form
    84,208/185,984 = 185,984/x
  3. Step 3: Cross multiply
    84,208x = 185,984 × 185,984
  4. Step 4: Simplify right side
    84,208x = 34,590,048,256
  5. Step 5: Solve for x
    x = 34,590,048,256/84,208
  6. Step 6: Final answer
    x = 410,769.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.