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Finding the Third Proportional to 84,327 and 180,608.25

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Solution

The third proportional to 84,327 and 180,608.25 is: 386,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,327 : 180,608.25 = 180,608.25 : x
  2. Step 2: Convert to fraction form
    84,327/180,608.25 = 180,608.25/x
  3. Step 3: Cross multiply
    84,327x = 180,608.25 × 180,608.25
  4. Step 4: Simplify right side
    84,327x = 32,619,339,968.06
  5. Step 5: Solve for x
    x = 32,619,339,968.06/84,327
  6. Step 6: Final answer
    x = 386,819.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.