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Finding the Third Proportional to 164,583.50 and 245,796.75

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Solution

The third proportional to 164,583.50 and 245,796.75 is: 367,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,583.50 : 245,796.75 = 245,796.75 : x
  2. Step 2: Convert to fraction form
    164,583.50/245,796.75 = 245,796.75/x
  3. Step 3: Cross multiply
    164,583.50x = 245,796.75 × 245,796.75
  4. Step 4: Simplify right side
    164,583.50x = 60,416,042,310.56
  5. Step 5: Solve for x
    x = 60,416,042,310.56/164,583.50
  6. Step 6: Final answer
    x = 367,084.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.