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Finding the Third Proportional to 84,660.25 and 180,984.25

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Solution

The third proportional to 84,660.25 and 180,984.25 is: 386,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,660.25 : 180,984.25 = 180,984.25 : x
  2. Step 2: Convert to fraction form
    84,660.25/180,984.25 = 180,984.25/x
  3. Step 3: Cross multiply
    84,660.25x = 180,984.25 × 180,984.25
  4. Step 4: Simplify right side
    84,660.25x = 32,755,298,748.06
  5. Step 5: Solve for x
    x = 32,755,298,748.06/84,660.25
  6. Step 6: Final answer
    x = 386,902.93

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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.