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Finding the Third Proportional to 237,677 and 345,787

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Solution

The third proportional to 237,677 and 345,787 is: 503,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,677 : 345,787 = 345,787 : x
  2. Step 2: Convert to fraction form
    237,677/345,787 = 345,787/x
  3. Step 3: Cross multiply
    237,677x = 345,787 × 345,787
  4. Step 4: Simplify right side
    237,677x = 119,568,649,369
  5. Step 5: Solve for x
    x = 119,568,649,369/237,677
  6. Step 6: Final answer
    x = 503,072.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.