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Finding the Third Proportional to 169,884 and 204,022.50

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Solution

The third proportional to 169,884 and 204,022.50 is: 245,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,884 : 204,022.50 = 204,022.50 : x
  2. Step 2: Convert to fraction form
    169,884/204,022.50 = 204,022.50/x
  3. Step 3: Cross multiply
    169,884x = 204,022.50 × 204,022.50
  4. Step 4: Simplify right side
    169,884x = 41,625,180,506.25
  5. Step 5: Solve for x
    x = 41,625,180,506.25/169,884
  6. Step 6: Final answer
    x = 245,021.19

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.