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Finding the Third Proportional to 203,869.41 and 441,338.31

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Solution

The third proportional to 203,869.41 and 441,338.31 is: 955,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,869.41 : 441,338.31 = 441,338.31 : x
  2. Step 2: Convert to fraction form
    203,869.41/441,338.31 = 441,338.31/x
  3. Step 3: Cross multiply
    203,869.41x = 441,338.31 × 441,338.31
  4. Step 4: Simplify right side
    203,869.41x = 194,779,502,632.39
  5. Step 5: Solve for x
    x = 194,779,502,632.39/203,869.41
  6. Step 6: Final answer
    x = 955,413.11

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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.