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Finding the Third Proportional to 208,942.50 and 451,134

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Solution

The third proportional to 208,942.50 and 451,134 is: 974,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,942.50 : 451,134 = 451,134 : x
  2. Step 2: Convert to fraction form
    208,942.50/451,134 = 451,134/x
  3. Step 3: Cross multiply
    208,942.50x = 451,134 × 451,134
  4. Step 4: Simplify right side
    208,942.50x = 203,521,885,956
  5. Step 5: Solve for x
    x = 203,521,885,956/208,942.50
  6. Step 6: Final answer
    x = 974,056.91

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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.