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Finding the Third Proportional to 175,154 and 377,812

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Solution

The third proportional to 175,154 and 377,812 is: 814,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,154 : 377,812 = 377,812 : x
  2. Step 2: Convert to fraction form
    175,154/377,812 = 377,812/x
  3. Step 3: Cross multiply
    175,154x = 377,812 × 377,812
  4. Step 4: Simplify right side
    175,154x = 142,741,907,344
  5. Step 5: Solve for x
    x = 142,741,907,344/175,154
  6. Step 6: Final answer
    x = 814,950.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.