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Finding the Third Proportional to 263,002.50 and 372,143.25

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Solution

The third proportional to 263,002.50 and 372,143.25 is: 526,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,002.50 : 372,143.25 = 372,143.25 : x
  2. Step 2: Convert to fraction form
    263,002.50/372,143.25 = 372,143.25/x
  3. Step 3: Cross multiply
    263,002.50x = 372,143.25 × 372,143.25
  4. Step 4: Simplify right side
    263,002.50x = 138,490,598,520.56
  5. Step 5: Solve for x
    x = 138,490,598,520.56/263,002.50
  6. Step 6: Final answer
    x = 526,575.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.