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Finding the Third Proportional to 128,532 and 276,801

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Solution

The third proportional to 128,532 and 276,801 is: 596,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532 : 276,801 = 276,801 : x
  2. Step 2: Convert to fraction form
    128,532/276,801 = 276,801/x
  3. Step 3: Cross multiply
    128,532x = 276,801 × 276,801
  4. Step 4: Simplify right side
    128,532x = 76,618,793,601
  5. Step 5: Solve for x
    x = 76,618,793,601/128,532
  6. Step 6: Final answer
    x = 596,106.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.