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Finding the Third Proportional to 213,657.75 and 451,326.94

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Solution

The third proportional to 213,657.75 and 451,326.94 is: 953,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.75 : 451,326.94 = 451,326.94 : x
  2. Step 2: Convert to fraction form
    213,657.75/451,326.94 = 451,326.94/x
  3. Step 3: Cross multiply
    213,657.75x = 451,326.94 × 451,326.94
  4. Step 4: Simplify right side
    213,657.75x = 203,696,004,513.13
  5. Step 5: Solve for x
    x = 203,696,004,513.13/213,657.75
  6. Step 6: Final answer
    x = 953,375.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.