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Finding the Third Proportional to 213,727.50 and 451,485

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Solution

The third proportional to 213,727.50 and 451,485 is: 953,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,727.50 : 451,485 = 451,485 : x
  2. Step 2: Convert to fraction form
    213,727.50/451,485 = 451,485/x
  3. Step 3: Cross multiply
    213,727.50x = 451,485 × 451,485
  4. Step 4: Simplify right side
    213,727.50x = 203,838,705,225
  5. Step 5: Solve for x
    x = 203,838,705,225/213,727.50
  6. Step 6: Final answer
    x = 953,731.76

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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.