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Finding the Third Proportional to 252,920 and 381,050

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Solution

The third proportional to 252,920 and 381,050 is: 574,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,920 : 381,050 = 381,050 : x
  2. Step 2: Convert to fraction form
    252,920/381,050 = 381,050/x
  3. Step 3: Cross multiply
    252,920x = 381,050 × 381,050
  4. Step 4: Simplify right side
    252,920x = 145,199,102,500
  5. Step 5: Solve for x
    x = 145,199,102,500/252,920
  6. Step 6: Final answer
    x = 574,091.03

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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.