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Finding the Third Proportional to 178,666 and 378,068

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Solution

The third proportional to 178,666 and 378,068 is: 800,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,666 : 378,068 = 378,068 : x
  2. Step 2: Convert to fraction form
    178,666/378,068 = 378,068/x
  3. Step 3: Cross multiply
    178,666x = 378,068 × 378,068
  4. Step 4: Simplify right side
    178,666x = 142,935,412,624
  5. Step 5: Solve for x
    x = 142,935,412,624/178,666
  6. Step 6: Final answer
    x = 800,014.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.