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Finding the Third Proportional to 182,197 and 400,264

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Solution

The third proportional to 182,197 and 400,264 is: 879,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,197 : 400,264 = 400,264 : x
  2. Step 2: Convert to fraction form
    182,197/400,264 = 400,264/x
  3. Step 3: Cross multiply
    182,197x = 400,264 × 400,264
  4. Step 4: Simplify right side
    182,197x = 160,211,269,696
  5. Step 5: Solve for x
    x = 160,211,269,696/182,197
  6. Step 6: Final answer
    x = 879,329.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.