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Finding the Third Proportional to 208,020 and 447,159

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Solution

The third proportional to 208,020 and 447,159 is: 961,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020 : 447,159 = 447,159 : x
  2. Step 2: Convert to fraction form
    208,020/447,159 = 447,159/x
  3. Step 3: Cross multiply
    208,020x = 447,159 × 447,159
  4. Step 4: Simplify right side
    208,020x = 199,951,171,281
  5. Step 5: Solve for x
    x = 199,951,171,281/208,020
  6. Step 6: Final answer
    x = 961,211.28

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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.