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Finding the Third Proportional to 155,704.15 and 204,450.33

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Solution

The third proportional to 155,704.15 and 204,450.33 is: 268,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,704.15 : 204,450.33 = 204,450.33 : x
  2. Step 2: Convert to fraction form
    155,704.15/204,450.33 = 204,450.33/x
  3. Step 3: Cross multiply
    155,704.15x = 204,450.33 × 204,450.33
  4. Step 4: Simplify right side
    155,704.15x = 41,799,936,670.42
  5. Step 5: Solve for x
    x = 41,799,936,670.42/155,704.15
  6. Step 6: Final answer
    x = 268,457.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.