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Finding the Third Proportional to 168,324 and 252,918

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Solution

The third proportional to 168,324 and 252,918 is: 380,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,324 : 252,918 = 252,918 : x
  2. Step 2: Convert to fraction form
    168,324/252,918 = 252,918/x
  3. Step 3: Cross multiply
    168,324x = 252,918 × 252,918
  4. Step 4: Simplify right side
    168,324x = 63,967,514,724
  5. Step 5: Solve for x
    x = 63,967,514,724/168,324
  6. Step 6: Final answer
    x = 380,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.