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Finding the Third Proportional to 174,628 and 381,236

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Solution

The third proportional to 174,628 and 381,236 is: 832,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,628 : 381,236 = 381,236 : x
  2. Step 2: Convert to fraction form
    174,628/381,236 = 381,236/x
  3. Step 3: Cross multiply
    174,628x = 381,236 × 381,236
  4. Step 4: Simplify right side
    174,628x = 145,340,887,696
  5. Step 5: Solve for x
    x = 145,340,887,696/174,628
  6. Step 6: Final answer
    x = 832,288.57

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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.