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Finding the Third Proportional to 78,794 and 172,897

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Solution

The third proportional to 78,794 and 172,897 is: 379,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794 : 172,897 = 172,897 : x
  2. Step 2: Convert to fraction form
    78,794/172,897 = 172,897/x
  3. Step 3: Cross multiply
    78,794x = 172,897 × 172,897
  4. Step 4: Simplify right side
    78,794x = 29,893,372,609
  5. Step 5: Solve for x
    x = 29,893,372,609/78,794
  6. Step 6: Final answer
    x = 379,386.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.