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Finding the Third Proportional to 175,614 and 377,863

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Solution

The third proportional to 175,614 and 377,863 is: 813,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,614 : 377,863 = 377,863 : x
  2. Step 2: Convert to fraction form
    175,614/377,863 = 377,863/x
  3. Step 3: Cross multiply
    175,614x = 377,863 × 377,863
  4. Step 4: Simplify right side
    175,614x = 142,780,446,769
  5. Step 5: Solve for x
    x = 142,780,446,769/175,614
  6. Step 6: Final answer
    x = 813,035.67

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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.