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Finding the Third Proportional to 167,103 and 274,315.50

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Solution

The third proportional to 167,103 and 274,315.50 is: 450,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,103 : 274,315.50 = 274,315.50 : x
  2. Step 2: Convert to fraction form
    167,103/274,315.50 = 274,315.50/x
  3. Step 3: Cross multiply
    167,103x = 274,315.50 × 274,315.50
  4. Step 4: Simplify right side
    167,103x = 75,248,993,540.25
  5. Step 5: Solve for x
    x = 75,248,993,540.25/167,103
  6. Step 6: Final answer
    x = 450,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.