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Finding the Third Proportional to 150,462 and 327,897

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Solution

The third proportional to 150,462 and 327,897 is: 714,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462 : 327,897 = 327,897 : x
  2. Step 2: Convert to fraction form
    150,462/327,897 = 327,897/x
  3. Step 3: Cross multiply
    150,462x = 327,897 × 327,897
  4. Step 4: Simplify right side
    150,462x = 107,516,442,609
  5. Step 5: Solve for x
    x = 107,516,442,609/150,462
  6. Step 6: Final answer
    x = 714,575.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.