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Finding the Third Proportional to 178,668 and 383,248

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Solution

The third proportional to 178,668 and 383,248 is: 822,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,668 : 383,248 = 383,248 : x
  2. Step 2: Convert to fraction form
    178,668/383,248 = 383,248/x
  3. Step 3: Cross multiply
    178,668x = 383,248 × 383,248
  4. Step 4: Simplify right side
    178,668x = 146,879,029,504
  5. Step 5: Solve for x
    x = 146,879,029,504/178,668
  6. Step 6: Final answer
    x = 822,077.99

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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.