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Finding the Third Proportional to 175,923.75 and 383,423.25

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Solution

The third proportional to 175,923.75 and 383,423.25 is: 835,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,923.75 : 383,423.25 = 383,423.25 : x
  2. Step 2: Convert to fraction form
    175,923.75/383,423.25 = 383,423.25/x
  3. Step 3: Cross multiply
    175,923.75x = 383,423.25 × 383,423.25
  4. Step 4: Simplify right side
    175,923.75x = 147,013,388,640.56
  5. Step 5: Solve for x
    x = 147,013,388,640.56/175,923.75
  6. Step 6: Final answer
    x = 835,665.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.