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Finding the Third Proportional to 204,032.50 and 441,959

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Solution

The third proportional to 204,032.50 and 441,959 is: 957,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.50 : 441,959 = 441,959 : x
  2. Step 2: Convert to fraction form
    204,032.50/441,959 = 441,959/x
  3. Step 3: Cross multiply
    204,032.50x = 441,959 × 441,959
  4. Step 4: Simplify right side
    204,032.50x = 195,327,757,681
  5. Step 5: Solve for x
    x = 195,327,757,681/204,032.50
  6. Step 6: Final answer
    x = 957,336.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.