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Finding the Third Proportional to 153,036 and 238,626

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Solution

The third proportional to 153,036 and 238,626 is: 372,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036 : 238,626 = 238,626 : x
  2. Step 2: Convert to fraction form
    153,036/238,626 = 238,626/x
  3. Step 3: Cross multiply
    153,036x = 238,626 × 238,626
  4. Step 4: Simplify right side
    153,036x = 56,942,367,876
  5. Step 5: Solve for x
    x = 56,942,367,876/153,036
  6. Step 6: Final answer
    x = 372,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.