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Finding the Third Proportional to 84,630 and 182,004

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Solution

The third proportional to 84,630 and 182,004 is: 391,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,630 : 182,004 = 182,004 : x
  2. Step 2: Convert to fraction form
    84,630/182,004 = 182,004/x
  3. Step 3: Cross multiply
    84,630x = 182,004 × 182,004
  4. Step 4: Simplify right side
    84,630x = 33,125,456,016
  5. Step 5: Solve for x
    x = 33,125,456,016/84,630
  6. Step 6: Final answer
    x = 391,415.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.