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Finding the Third Proportional to 178,632.23 and 383,166.80

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Solution

The third proportional to 178,632.23 and 383,166.80 is: 821,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632.23 : 383,166.80 = 383,166.80 : x
  2. Step 2: Convert to fraction form
    178,632.23/383,166.80 = 383,166.80/x
  3. Step 3: Cross multiply
    178,632.23x = 383,166.80 × 383,166.80
  4. Step 4: Simplify right side
    178,632.23x = 146,816,794,227.45
  5. Step 5: Solve for x
    x = 146,816,794,227.45/178,632.23
  6. Step 6: Final answer
    x = 821,894.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.