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Finding the Third Proportional to 173,055 and 383,685

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Solution

The third proportional to 173,055 and 383,685 is: 850,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,055 : 383,685 = 383,685 : x
  2. Step 2: Convert to fraction form
    173,055/383,685 = 383,685/x
  3. Step 3: Cross multiply
    173,055x = 383,685 × 383,685
  4. Step 4: Simplify right side
    173,055x = 147,214,179,225
  5. Step 5: Solve for x
    x = 147,214,179,225/173,055
  6. Step 6: Final answer
    x = 850,678.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.