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Finding the Third Proportional to 208,176.38 and 445,854.56

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Solution

The third proportional to 208,176.38 and 445,854.56 is: 954,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,176.38 : 445,854.56 = 445,854.56 : x
  2. Step 2: Convert to fraction form
    208,176.38/445,854.56 = 445,854.56/x
  3. Step 3: Cross multiply
    208,176.38x = 445,854.56 × 445,854.56
  4. Step 4: Simplify right side
    208,176.38x = 198,786,290,902.07
  5. Step 5: Solve for x
    x = 198,786,290,902.07/208,176.38
  6. Step 6: Final answer
    x = 954,893.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.