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Finding the Third Proportional to 204,114 and 324,214.50

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Solution

The third proportional to 204,114 and 324,214.50 is: 514,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,114 : 324,214.50 = 324,214.50 : x
  2. Step 2: Convert to fraction form
    204,114/324,214.50 = 324,214.50/x
  3. Step 3: Cross multiply
    204,114x = 324,214.50 × 324,214.50
  4. Step 4: Simplify right side
    204,114x = 105,115,042,010.25
  5. Step 5: Solve for x
    x = 105,115,042,010.25/204,114
  6. Step 6: Final answer
    x = 514,982.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.