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Finding the Third Proportional to 205,364 and 315,525

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Solution

The third proportional to 205,364 and 315,525 is: 484,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364 : 315,525 = 315,525 : x
  2. Step 2: Convert to fraction form
    205,364/315,525 = 315,525/x
  3. Step 3: Cross multiply
    205,364x = 315,525 × 315,525
  4. Step 4: Simplify right side
    205,364x = 99,556,025,625
  5. Step 5: Solve for x
    x = 99,556,025,625/205,364
  6. Step 6: Final answer
    x = 484,778.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.