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Finding the Third Proportional to 88,479 and 186,942

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Solution

The third proportional to 88,479 and 186,942 is: 394,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,479 : 186,942 = 186,942 : x
  2. Step 2: Convert to fraction form
    88,479/186,942 = 186,942/x
  3. Step 3: Cross multiply
    88,479x = 186,942 × 186,942
  4. Step 4: Simplify right side
    88,479x = 34,947,311,364
  5. Step 5: Solve for x
    x = 34,947,311,364/88,479
  6. Step 6: Final answer
    x = 394,978.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.