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Finding the Third Proportional to 168,824 and 360,246

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Solution

The third proportional to 168,824 and 360,246 is: 768,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,824 : 360,246 = 360,246 : x
  2. Step 2: Convert to fraction form
    168,824/360,246 = 360,246/x
  3. Step 3: Cross multiply
    168,824x = 360,246 × 360,246
  4. Step 4: Simplify right side
    168,824x = 129,777,180,516
  5. Step 5: Solve for x
    x = 129,777,180,516/168,824
  6. Step 6: Final answer
    x = 768,712.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.