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Finding the Third Proportional to 263,027 and 372,178

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Solution

The third proportional to 263,027 and 372,178 is: 526,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,027 : 372,178 = 372,178 : x
  2. Step 2: Convert to fraction form
    263,027/372,178 = 372,178/x
  3. Step 3: Cross multiply
    263,027x = 372,178 × 372,178
  4. Step 4: Simplify right side
    263,027x = 138,516,463,684
  5. Step 5: Solve for x
    x = 138,516,463,684/263,027
  6. Step 6: Final answer
    x = 526,624.51

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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.