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Finding the Third Proportional to 186,338 and 263,415

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Solution

The third proportional to 186,338 and 263,415 is: 372,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,338 : 263,415 = 263,415 : x
  2. Step 2: Convert to fraction form
    186,338/263,415 = 263,415/x
  3. Step 3: Cross multiply
    186,338x = 263,415 × 263,415
  4. Step 4: Simplify right side
    186,338x = 69,387,462,225
  5. Step 5: Solve for x
    x = 69,387,462,225/186,338
  6. Step 6: Final answer
    x = 372,374.19

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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.