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Finding the Third Proportional to 199,752.75 and 269,129.25

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Solution

The third proportional to 199,752.75 and 269,129.25 is: 362,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,752.75 : 269,129.25 = 269,129.25 : x
  2. Step 2: Convert to fraction form
    199,752.75/269,129.25 = 269,129.25/x
  3. Step 3: Cross multiply
    199,752.75x = 269,129.25 × 269,129.25
  4. Step 4: Simplify right side
    199,752.75x = 72,430,553,205.56
  5. Step 5: Solve for x
    x = 72,430,553,205.56/199,752.75
  6. Step 6: Final answer
    x = 362,601.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.