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Finding the Third Proportional to 158,129 and 252,912

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Solution

The third proportional to 158,129 and 252,912 is: 404,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,129 : 252,912 = 252,912 : x
  2. Step 2: Convert to fraction form
    158,129/252,912 = 252,912/x
  3. Step 3: Cross multiply
    158,129x = 252,912 × 252,912
  4. Step 4: Simplify right side
    158,129x = 63,964,479,744
  5. Step 5: Solve for x
    x = 63,964,479,744/158,129
  6. Step 6: Final answer
    x = 404,508.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.