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Finding the Third Proportional to 169,448 and 368,406

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Solution

The third proportional to 169,448 and 368,406 is: 800,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,448 : 368,406 = 368,406 : x
  2. Step 2: Convert to fraction form
    169,448/368,406 = 368,406/x
  3. Step 3: Cross multiply
    169,448x = 368,406 × 368,406
  4. Step 4: Simplify right side
    169,448x = 135,722,980,836
  5. Step 5: Solve for x
    x = 135,722,980,836/169,448
  6. Step 6: Final answer
    x = 800,971.28

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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.