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Finding the Third Proportional to 84,784 and 182,690

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Solution

The third proportional to 84,784 and 182,690 is: 393,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,784 : 182,690 = 182,690 : x
  2. Step 2: Convert to fraction form
    84,784/182,690 = 182,690/x
  3. Step 3: Cross multiply
    84,784x = 182,690 × 182,690
  4. Step 4: Simplify right side
    84,784x = 33,375,636,100
  5. Step 5: Solve for x
    x = 33,375,636,100/84,784
  6. Step 6: Final answer
    x = 393,654.89

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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.