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Finding the Third Proportional to 163,760 and 245,868

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Solution

The third proportional to 163,760 and 245,868 is: 369,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,760 : 245,868 = 245,868 : x
  2. Step 2: Convert to fraction form
    163,760/245,868 = 245,868/x
  3. Step 3: Cross multiply
    163,760x = 245,868 × 245,868
  4. Step 4: Simplify right side
    163,760x = 60,451,073,424
  5. Step 5: Solve for x
    x = 60,451,073,424/163,760
  6. Step 6: Final answer
    x = 369,144.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.