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Finding the Third Proportional to 173,047 and 383,670

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Solution

The third proportional to 173,047 and 383,670 is: 850,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,047 : 383,670 = 383,670 : x
  2. Step 2: Convert to fraction form
    173,047/383,670 = 383,670/x
  3. Step 3: Cross multiply
    173,047x = 383,670 × 383,670
  4. Step 4: Simplify right side
    173,047x = 147,202,668,900
  5. Step 5: Solve for x
    x = 147,202,668,900/173,047
  6. Step 6: Final answer
    x = 850,651.38

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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.