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Finding the Third Proportional to 156,728 and 238,762

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Solution

The third proportional to 156,728 and 238,762 is: 363,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,728 : 238,762 = 238,762 : x
  2. Step 2: Convert to fraction form
    156,728/238,762 = 238,762/x
  3. Step 3: Cross multiply
    156,728x = 238,762 × 238,762
  4. Step 4: Simplify right side
    156,728x = 57,007,292,644
  5. Step 5: Solve for x
    x = 57,007,292,644/156,728
  6. Step 6: Final answer
    x = 363,733.94

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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.