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Finding the Third Proportional to 186,247 and 414,650

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Solution

The third proportional to 186,247 and 414,650 is: 923,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,247 : 414,650 = 414,650 : x
  2. Step 2: Convert to fraction form
    186,247/414,650 = 414,650/x
  3. Step 3: Cross multiply
    186,247x = 414,650 × 414,650
  4. Step 4: Simplify right side
    186,247x = 171,934,622,500
  5. Step 5: Solve for x
    x = 171,934,622,500/186,247
  6. Step 6: Final answer
    x = 923,153.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.