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Finding the Third Proportional to 88,491 and 192,532

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Solution

The third proportional to 88,491 and 192,532 is: 418,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,491 : 192,532 = 192,532 : x
  2. Step 2: Convert to fraction form
    88,491/192,532 = 192,532/x
  3. Step 3: Cross multiply
    88,491x = 192,532 × 192,532
  4. Step 4: Simplify right side
    88,491x = 37,068,571,024
  5. Step 5: Solve for x
    x = 37,068,571,024/88,491
  6. Step 6: Final answer
    x = 418,896.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.