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Finding the Third Proportional to 263,025 and 372,175

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Solution

The third proportional to 263,025 and 372,175 is: 526,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,025 : 372,175 = 372,175 : x
  2. Step 2: Convert to fraction form
    263,025/372,175 = 372,175/x
  3. Step 3: Cross multiply
    263,025x = 372,175 × 372,175
  4. Step 4: Simplify right side
    263,025x = 138,514,230,625
  5. Step 5: Solve for x
    x = 138,514,230,625/263,025
  6. Step 6: Final answer
    x = 526,620.02

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Why These Related Problems?

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