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Finding the Third Proportional to 94,500 and 204,576

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Solution

The third proportional to 94,500 and 204,576 is: 442,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,500 : 204,576 = 204,576 : x
  2. Step 2: Convert to fraction form
    94,500/204,576 = 204,576/x
  3. Step 3: Cross multiply
    94,500x = 204,576 × 204,576
  4. Step 4: Simplify right side
    94,500x = 41,851,339,776
  5. Step 5: Solve for x
    x = 41,851,339,776/94,500
  6. Step 6: Final answer
    x = 442,871.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.