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Finding the Third Proportional to 164,095 and 245,868

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Solution

The third proportional to 164,095 and 245,868 is: 368,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095 : 245,868 = 245,868 : x
  2. Step 2: Convert to fraction form
    164,095/245,868 = 245,868/x
  3. Step 3: Cross multiply
    164,095x = 245,868 × 245,868
  4. Step 4: Simplify right side
    164,095x = 60,451,073,424
  5. Step 5: Solve for x
    x = 60,451,073,424/164,095
  6. Step 6: Final answer
    x = 368,390.71

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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.