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Finding the Third Proportional to 164,907 and 252,692

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Solution

The third proportional to 164,907 and 252,692 is: 387,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907 : 252,692 = 252,692 : x
  2. Step 2: Convert to fraction form
    164,907/252,692 = 252,692/x
  3. Step 3: Cross multiply
    164,907x = 252,692 × 252,692
  4. Step 4: Simplify right side
    164,907x = 63,853,246,864
  5. Step 5: Solve for x
    x = 63,853,246,864/164,907
  6. Step 6: Final answer
    x = 387,207.62

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Why These Related Problems?

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