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Finding the Third Proportional to 76,463 and 158,302

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Solution

The third proportional to 76,463 and 158,302 is: 327,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463 : 158,302 = 158,302 : x
  2. Step 2: Convert to fraction form
    76,463/158,302 = 158,302/x
  3. Step 3: Cross multiply
    76,463x = 158,302 × 158,302
  4. Step 4: Simplify right side
    76,463x = 25,059,523,204
  5. Step 5: Solve for x
    x = 25,059,523,204/76,463
  6. Step 6: Final answer
    x = 327,733.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.