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Finding the Third Proportional to 169,592 and 368,320

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Solution

The third proportional to 169,592 and 368,320 is: 799,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,592 : 368,320 = 368,320 : x
  2. Step 2: Convert to fraction form
    169,592/368,320 = 368,320/x
  3. Step 3: Cross multiply
    169,592x = 368,320 × 368,320
  4. Step 4: Simplify right side
    169,592x = 135,659,622,400
  5. Step 5: Solve for x
    x = 135,659,622,400/169,592
  6. Step 6: Final answer
    x = 799,917.58

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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.