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Finding the Third Proportional to 168,672 and 263,232

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Solution

The third proportional to 168,672 and 263,232 is: 410,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,672 : 263,232 = 263,232 : x
  2. Step 2: Convert to fraction form
    168,672/263,232 = 263,232/x
  3. Step 3: Cross multiply
    168,672x = 263,232 × 263,232
  4. Step 4: Simplify right side
    168,672x = 69,291,085,824
  5. Step 5: Solve for x
    x = 69,291,085,824/168,672
  6. Step 6: Final answer
    x = 410,803.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.