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Finding the Third Proportional to 174,614 and 381,213

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Solution

The third proportional to 174,614 and 381,213 is: 832,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,614 : 381,213 = 381,213 : x
  2. Step 2: Convert to fraction form
    174,614/381,213 = 381,213/x
  3. Step 3: Cross multiply
    174,614x = 381,213 × 381,213
  4. Step 4: Simplify right side
    174,614x = 145,323,351,369
  5. Step 5: Solve for x
    x = 145,323,351,369/174,614
  6. Step 6: Final answer
    x = 832,254.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.