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Finding the Third Proportional to 169,597 and 368,672

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Solution

The third proportional to 169,597 and 368,672 is: 801,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,597 : 368,672 = 368,672 : x
  2. Step 2: Convert to fraction form
    169,597/368,672 = 368,672/x
  3. Step 3: Cross multiply
    169,597x = 368,672 × 368,672
  4. Step 4: Simplify right side
    169,597x = 135,919,043,584
  5. Step 5: Solve for x
    x = 135,919,043,584/169,597
  6. Step 6: Final answer
    x = 801,423.63

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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.