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Finding the Third Proportional to 225,269 and 314,940

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Solution

The third proportional to 225,269 and 314,940 is: 440,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,269 : 314,940 = 314,940 : x
  2. Step 2: Convert to fraction form
    225,269/314,940 = 314,940/x
  3. Step 3: Cross multiply
    225,269x = 314,940 × 314,940
  4. Step 4: Simplify right side
    225,269x = 99,187,203,600
  5. Step 5: Solve for x
    x = 99,187,203,600/225,269
  6. Step 6: Final answer
    x = 440,305.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.