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Finding the Third Proportional to 78,197 and 167,467

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Solution

The third proportional to 78,197 and 167,467 is: 358,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197 : 167,467 = 167,467 : x
  2. Step 2: Convert to fraction form
    78,197/167,467 = 167,467/x
  3. Step 3: Cross multiply
    78,197x = 167,467 × 167,467
  4. Step 4: Simplify right side
    78,197x = 28,045,196,089
  5. Step 5: Solve for x
    x = 28,045,196,089/78,197
  6. Step 6: Final answer
    x = 358,647.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.