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Finding the Third Proportional to 174,216 and 381,630

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Solution

The third proportional to 174,216 and 381,630 is: 835,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,216 : 381,630 = 381,630 : x
  2. Step 2: Convert to fraction form
    174,216/381,630 = 381,630/x
  3. Step 3: Cross multiply
    174,216x = 381,630 × 381,630
  4. Step 4: Simplify right side
    174,216x = 145,641,456,900
  5. Step 5: Solve for x
    x = 145,641,456,900/174,216
  6. Step 6: Final answer
    x = 835,982.10

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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.