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Finding the Third Proportional to 250,702 and 377,250

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Solution

The third proportional to 250,702 and 377,250 is: 567,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,702 : 377,250 = 377,250 : x
  2. Step 2: Convert to fraction form
    250,702/377,250 = 377,250/x
  3. Step 3: Cross multiply
    250,702x = 377,250 × 377,250
  4. Step 4: Simplify right side
    250,702x = 142,317,562,500
  5. Step 5: Solve for x
    x = 142,317,562,500/250,702
  6. Step 6: Final answer
    x = 567,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.