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Finding the Third Proportional to 263,010 and 372,153

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Solution

The third proportional to 263,010 and 372,153 is: 526,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,010 : 372,153 = 372,153 : x
  2. Step 2: Convert to fraction form
    263,010/372,153 = 372,153/x
  3. Step 3: Cross multiply
    263,010x = 372,153 × 372,153
  4. Step 4: Simplify right side
    263,010x = 138,497,855,409
  5. Step 5: Solve for x
    x = 138,497,855,409/263,010
  6. Step 6: Final answer
    x = 526,587.79

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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.