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Finding the Third Proportional to 84,746 and 182,818

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Solution

The third proportional to 84,746 and 182,818 is: 394,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,746 : 182,818 = 182,818 : x
  2. Step 2: Convert to fraction form
    84,746/182,818 = 182,818/x
  3. Step 3: Cross multiply
    84,746x = 182,818 × 182,818
  4. Step 4: Simplify right side
    84,746x = 33,422,421,124
  5. Step 5: Solve for x
    x = 33,422,421,124/84,746
  6. Step 6: Final answer
    x = 394,383.46

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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.