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Finding the Third Proportional to 252,904.50 and 381,027.38

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Solution

The third proportional to 252,904.50 and 381,027.38 is: 574,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,904.50 : 381,027.38 = 381,027.38 : x
  2. Step 2: Convert to fraction form
    252,904.50/381,027.38 = 381,027.38/x
  3. Step 3: Cross multiply
    252,904.50x = 381,027.38 × 381,027.38
  4. Step 4: Simplify right side
    252,904.50x = 145,181,860,499.39
  5. Step 5: Solve for x
    x = 145,181,860,499.39/252,904.50
  6. Step 6: Final answer
    x = 574,058.04

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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.