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Finding the Third Proportional to 186,336 and 263,412

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Solution

The third proportional to 186,336 and 263,412 is: 372,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,336 : 263,412 = 263,412 : x
  2. Step 2: Convert to fraction form
    186,336/263,412 = 263,412/x
  3. Step 3: Cross multiply
    186,336x = 263,412 × 263,412
  4. Step 4: Simplify right side
    186,336x = 69,385,881,744
  5. Step 5: Solve for x
    x = 69,385,881,744/186,336
  6. Step 6: Final answer
    x = 372,369.71

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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.