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Finding the Third Proportional to 204,485.66 and 436,803.36

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Solution

The third proportional to 204,485.66 and 436,803.36 is: 933,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,485.66 : 436,803.36 = 436,803.36 : x
  2. Step 2: Convert to fraction form
    204,485.66/436,803.36 = 436,803.36/x
  3. Step 3: Cross multiply
    204,485.66x = 436,803.36 × 436,803.36
  4. Step 4: Simplify right side
    204,485.66x = 190,797,178,173.80
  5. Step 5: Solve for x
    x = 190,797,178,173.80/204,485.66
  6. Step 6: Final answer
    x = 933,058.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.