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Finding the Third Proportional to 186,809 and 256,885

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Solution

The third proportional to 186,809 and 256,885 is: 353,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,809 : 256,885 = 256,885 : x
  2. Step 2: Convert to fraction form
    186,809/256,885 = 256,885/x
  3. Step 3: Cross multiply
    186,809x = 256,885 × 256,885
  4. Step 4: Simplify right side
    186,809x = 65,989,903,225
  5. Step 5: Solve for x
    x = 65,989,903,225/186,809
  6. Step 6: Final answer
    x = 353,247.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.