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Finding the Third Proportional to 164,909 and 252,695

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Solution

The third proportional to 164,909 and 252,695 is: 387,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909 : 252,695 = 252,695 : x
  2. Step 2: Convert to fraction form
    164,909/252,695 = 252,695/x
  3. Step 3: Cross multiply
    164,909x = 252,695 × 252,695
  4. Step 4: Simplify right side
    164,909x = 63,854,763,025
  5. Step 5: Solve for x
    x = 63,854,763,025/164,909
  6. Step 6: Final answer
    x = 387,212.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.