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Finding the Third Proportional to 176,716 and 379,800

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Solution

The third proportional to 176,716 and 379,800 is: 816,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,716 : 379,800 = 379,800 : x
  2. Step 2: Convert to fraction form
    176,716/379,800 = 379,800/x
  3. Step 3: Cross multiply
    176,716x = 379,800 × 379,800
  4. Step 4: Simplify right side
    176,716x = 144,248,040,000
  5. Step 5: Solve for x
    x = 144,248,040,000/176,716
  6. Step 6: Final answer
    x = 816,270.40

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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.