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Finding the Third Proportional to 208,937 and 451,123

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Solution

The third proportional to 208,937 and 451,123 is: 974,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937 : 451,123 = 451,123 : x
  2. Step 2: Convert to fraction form
    208,937/451,123 = 451,123/x
  3. Step 3: Cross multiply
    208,937x = 451,123 × 451,123
  4. Step 4: Simplify right side
    208,937x = 203,511,961,129
  5. Step 5: Solve for x
    x = 203,511,961,129/208,937
  6. Step 6: Final answer
    x = 974,035.05

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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.