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Finding the Third Proportional to 204,071.25 and 441,385.50

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Solution

The third proportional to 204,071.25 and 441,385.50 is: 954,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071.25 : 441,385.50 = 441,385.50 : x
  2. Step 2: Convert to fraction form
    204,071.25/441,385.50 = 441,385.50/x
  3. Step 3: Cross multiply
    204,071.25x = 441,385.50 × 441,385.50
  4. Step 4: Simplify right side
    204,071.25x = 194,821,159,610.25
  5. Step 5: Solve for x
    x = 194,821,159,610.25/204,071.25
  6. Step 6: Final answer
    x = 954,672.25

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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.