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Finding the Third Proportional to 84,581 and 182,383

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Solution

The third proportional to 84,581 and 182,383 is: 393,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,581 : 182,383 = 182,383 : x
  2. Step 2: Convert to fraction form
    84,581/182,383 = 182,383/x
  3. Step 3: Cross multiply
    84,581x = 182,383 × 182,383
  4. Step 4: Simplify right side
    84,581x = 33,263,558,689
  5. Step 5: Solve for x
    x = 33,263,558,689/84,581
  6. Step 6: Final answer
    x = 393,274.60

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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.