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Finding the Third Proportional to 84,699.50 and 178,795

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Solution

The third proportional to 84,699.50 and 178,795 is: 377,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,699.50 : 178,795 = 178,795 : x
  2. Step 2: Convert to fraction form
    84,699.50/178,795 = 178,795/x
  3. Step 3: Cross multiply
    84,699.50x = 178,795 × 178,795
  4. Step 4: Simplify right side
    84,699.50x = 31,967,652,025
  5. Step 5: Solve for x
    x = 31,967,652,025/84,699.50
  6. Step 6: Final answer
    x = 377,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.