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Finding the Third Proportional to 168,928 and 367,258

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Solution

The third proportional to 168,928 and 367,258 is: 798,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,928 : 367,258 = 367,258 : x
  2. Step 2: Convert to fraction form
    168,928/367,258 = 367,258/x
  3. Step 3: Cross multiply
    168,928x = 367,258 × 367,258
  4. Step 4: Simplify right side
    168,928x = 134,878,438,564
  5. Step 5: Solve for x
    x = 134,878,438,564/168,928
  6. Step 6: Final answer
    x = 798,437.43

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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.