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Finding the Third Proportional to 225,771.75 and 309,594.38

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Solution

The third proportional to 225,771.75 and 309,594.38 is: 424,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,771.75 : 309,594.38 = 309,594.38 : x
  2. Step 2: Convert to fraction form
    225,771.75/309,594.38 = 309,594.38/x
  3. Step 3: Cross multiply
    225,771.75x = 309,594.38 × 309,594.38
  4. Step 4: Simplify right side
    225,771.75x = 95,848,677,031.64
  5. Step 5: Solve for x
    x = 95,848,677,031.64/225,771.75
  6. Step 6: Final answer
    x = 424,537.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.