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Finding the Third Proportional to 174,209 and 381,634

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Solution

The third proportional to 174,209 and 381,634 is: 836,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,209 : 381,634 = 381,634 : x
  2. Step 2: Convert to fraction form
    174,209/381,634 = 381,634/x
  3. Step 3: Cross multiply
    174,209x = 381,634 × 381,634
  4. Step 4: Simplify right side
    174,209x = 145,644,509,956
  5. Step 5: Solve for x
    x = 145,644,509,956/174,209
  6. Step 6: Final answer
    x = 836,033.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.