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Finding the Third Proportional to 164,516 and 247,990

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Solution

The third proportional to 164,516 and 247,990 is: 373,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516 : 247,990 = 247,990 : x
  2. Step 2: Convert to fraction form
    164,516/247,990 = 247,990/x
  3. Step 3: Cross multiply
    164,516x = 247,990 × 247,990
  4. Step 4: Simplify right side
    164,516x = 61,499,040,100
  5. Step 5: Solve for x
    x = 61,499,040,100/164,516
  6. Step 6: Final answer
    x = 373,817.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.