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Finding the Third Proportional to 145,553.63 and 225,942.75

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Solution

The third proportional to 145,553.63 and 225,942.75 is: 350,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,553.63 : 225,942.75 = 225,942.75 : x
  2. Step 2: Convert to fraction form
    145,553.63/225,942.75 = 225,942.75/x
  3. Step 3: Cross multiply
    145,553.63x = 225,942.75 × 225,942.75
  4. Step 4: Simplify right side
    145,553.63x = 51,050,126,277.56
  5. Step 5: Solve for x
    x = 51,050,126,277.56/145,553.63
  6. Step 6: Final answer
    x = 350,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.