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Finding the Third Proportional to 208,189 and 447,952

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Solution

The third proportional to 208,189 and 447,952 is: 963,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,189 : 447,952 = 447,952 : x
  2. Step 2: Convert to fraction form
    208,189/447,952 = 447,952/x
  3. Step 3: Cross multiply
    208,189x = 447,952 × 447,952
  4. Step 4: Simplify right side
    208,189x = 200,660,994,304
  5. Step 5: Solve for x
    x = 200,660,994,304/208,189
  6. Step 6: Final answer
    x = 963,840.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.