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Finding the Third Proportional to 186,806 and 256,881

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Solution

The third proportional to 186,806 and 256,881 is: 353,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,806 : 256,881 = 256,881 : x
  2. Step 2: Convert to fraction form
    186,806/256,881 = 256,881/x
  3. Step 3: Cross multiply
    186,806x = 256,881 × 256,881
  4. Step 4: Simplify right side
    186,806x = 65,987,848,161
  5. Step 5: Solve for x
    x = 65,987,848,161/186,806
  6. Step 6: Final answer
    x = 353,242.66

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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.