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Finding the Third Proportional to 186,328 and 263,396

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Solution

The third proportional to 186,328 and 263,396 is: 372,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,328 : 263,396 = 263,396 : x
  2. Step 2: Convert to fraction form
    186,328/263,396 = 263,396/x
  3. Step 3: Cross multiply
    186,328x = 263,396 × 263,396
  4. Step 4: Simplify right side
    186,328x = 69,377,452,816
  5. Step 5: Solve for x
    x = 69,377,452,816/186,328
  6. Step 6: Final answer
    x = 372,340.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.