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Finding the Third Proportional to 169,586 and 368,308

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Solution

The third proportional to 169,586 and 368,308 is: 799,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586 : 368,308 = 368,308 : x
  2. Step 2: Convert to fraction form
    169,586/368,308 = 368,308/x
  3. Step 3: Cross multiply
    169,586x = 368,308 × 368,308
  4. Step 4: Simplify right side
    169,586x = 135,650,782,864
  5. Step 5: Solve for x
    x = 135,650,782,864/169,586
  6. Step 6: Final answer
    x = 799,893.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.