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Finding the Third Proportional to 78,204 and 168,258

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Solution

The third proportional to 78,204 and 168,258 is: 362,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204 : 168,258 = 168,258 : x
  2. Step 2: Convert to fraction form
    78,204/168,258 = 168,258/x
  3. Step 3: Cross multiply
    78,204x = 168,258 × 168,258
  4. Step 4: Simplify right side
    78,204x = 28,310,754,564
  5. Step 5: Solve for x
    x = 28,310,754,564/78,204
  6. Step 6: Final answer
    x = 362,011.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.