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Finding the Third Proportional to 155,163.09 and 202,069.69

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Solution

The third proportional to 155,163.09 and 202,069.69 is: 263,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,163.09 : 202,069.69 = 202,069.69 : x
  2. Step 2: Convert to fraction form
    155,163.09/202,069.69 = 202,069.69/x
  3. Step 3: Cross multiply
    155,163.09x = 202,069.69 × 202,069.69
  4. Step 4: Simplify right side
    155,163.09x = 40,832,158,606.35
  5. Step 5: Solve for x
    x = 40,832,158,606.35/155,163.09
  6. Step 6: Final answer
    x = 263,156.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.