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Finding the Third Proportional to 205,729.50 and 308,595

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Solution

The third proportional to 205,729.50 and 308,595 is: 462,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,729.50 : 308,595 = 308,595 : x
  2. Step 2: Convert to fraction form
    205,729.50/308,595 = 308,595/x
  3. Step 3: Cross multiply
    205,729.50x = 308,595 × 308,595
  4. Step 4: Simplify right side
    205,729.50x = 95,230,874,025
  5. Step 5: Solve for x
    x = 95,230,874,025/205,729.50
  6. Step 6: Final answer
    x = 462,893.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.