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Finding the Third Proportional to 197,627 and 295,897

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Solution

The third proportional to 197,627 and 295,897 is: 443,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,627 : 295,897 = 295,897 : x
  2. Step 2: Convert to fraction form
    197,627/295,897 = 295,897/x
  3. Step 3: Cross multiply
    197,627x = 295,897 × 295,897
  4. Step 4: Simplify right side
    197,627x = 87,555,034,609
  5. Step 5: Solve for x
    x = 87,555,034,609/197,627
  6. Step 6: Final answer
    x = 443,031.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.