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Finding the Third Proportional to 128,384 and 187,821

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Solution

The third proportional to 128,384 and 187,821 is: 274,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,384 : 187,821 = 187,821 : x
  2. Step 2: Convert to fraction form
    128,384/187,821 = 187,821/x
  3. Step 3: Cross multiply
    128,384x = 187,821 × 187,821
  4. Step 4: Simplify right side
    128,384x = 35,276,728,041
  5. Step 5: Solve for x
    x = 35,276,728,041/128,384
  6. Step 6: Final answer
    x = 274,775.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.