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Finding the Third Proportional to 186,318 and 263,385

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Solution

The third proportional to 186,318 and 263,385 is: 372,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,318 : 263,385 = 263,385 : x
  2. Step 2: Convert to fraction form
    186,318/263,385 = 263,385/x
  3. Step 3: Cross multiply
    186,318x = 263,385 × 263,385
  4. Step 4: Simplify right side
    186,318x = 69,371,658,225
  5. Step 5: Solve for x
    x = 69,371,658,225/186,318
  6. Step 6: Final answer
    x = 372,329.34

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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.