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Finding the Third Proportional to 205,360 and 300,924

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Solution

The third proportional to 205,360 and 300,924 is: 440,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,360 : 300,924 = 300,924 : x
  2. Step 2: Convert to fraction form
    205,360/300,924 = 300,924/x
  3. Step 3: Cross multiply
    205,360x = 300,924 × 300,924
  4. Step 4: Simplify right side
    205,360x = 90,555,253,776
  5. Step 5: Solve for x
    x = 90,555,253,776/205,360
  6. Step 6: Final answer
    x = 440,958.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.