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Finding the Third Proportional to 75,328 and 156,897

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Solution

The third proportional to 75,328 and 156,897 is: 326,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328 : 156,897 = 156,897 : x
  2. Step 2: Convert to fraction form
    75,328/156,897 = 156,897/x
  3. Step 3: Cross multiply
    75,328x = 156,897 × 156,897
  4. Step 4: Simplify right side
    75,328x = 24,616,668,609
  5. Step 5: Solve for x
    x = 24,616,668,609/75,328
  6. Step 6: Final answer
    x = 326,793.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.