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Finding the Third Proportional to 254,696 and 344,676

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Solution

The third proportional to 254,696 and 344,676 is: 466,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,696 : 344,676 = 344,676 : x
  2. Step 2: Convert to fraction form
    254,696/344,676 = 344,676/x
  3. Step 3: Cross multiply
    254,696x = 344,676 × 344,676
  4. Step 4: Simplify right side
    254,696x = 118,801,544,976
  5. Step 5: Solve for x
    x = 118,801,544,976/254,696
  6. Step 6: Final answer
    x = 466,444.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.