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Finding the Third Proportional to 175,606 and 377,842

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Solution

The third proportional to 175,606 and 377,842 is: 812,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,606 : 377,842 = 377,842 : x
  2. Step 2: Convert to fraction form
    175,606/377,842 = 377,842/x
  3. Step 3: Cross multiply
    175,606x = 377,842 × 377,842
  4. Step 4: Simplify right side
    175,606x = 142,764,576,964
  5. Step 5: Solve for x
    x = 142,764,576,964/175,606
  6. Step 6: Final answer
    x = 812,982.34

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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.