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Finding the Third Proportional to 205,624 and 314,268

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Solution

The third proportional to 205,624 and 314,268 is: 480,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,624 : 314,268 = 314,268 : x
  2. Step 2: Convert to fraction form
    205,624/314,268 = 314,268/x
  3. Step 3: Cross multiply
    205,624x = 314,268 × 314,268
  4. Step 4: Simplify right side
    205,624x = 98,764,375,824
  5. Step 5: Solve for x
    x = 98,764,375,824/205,624
  6. Step 6: Final answer
    x = 480,315.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.