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Finding the Third Proportional to 156,734 and 238,771

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Solution

The third proportional to 156,734 and 238,771 is: 363,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,734 : 238,771 = 238,771 : x
  2. Step 2: Convert to fraction form
    156,734/238,771 = 238,771/x
  3. Step 3: Cross multiply
    156,734x = 238,771 × 238,771
  4. Step 4: Simplify right side
    156,734x = 57,011,590,441
  5. Step 5: Solve for x
    x = 57,011,590,441/156,734
  6. Step 6: Final answer
    x = 363,747.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.