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Finding the Third Proportional to 204,829.50 and 447,180

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Solution

The third proportional to 204,829.50 and 447,180 is: 976,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,829.50 : 447,180 = 447,180 : x
  2. Step 2: Convert to fraction form
    204,829.50/447,180 = 447,180/x
  3. Step 3: Cross multiply
    204,829.50x = 447,180 × 447,180
  4. Step 4: Simplify right side
    204,829.50x = 199,969,952,400
  5. Step 5: Solve for x
    x = 199,969,952,400/204,829.50
  6. Step 6: Final answer
    x = 976,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.