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Finding the Third Proportional to 168,264 and 393,201

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Solution

The third proportional to 168,264 and 393,201 is: 918,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,264 : 393,201 = 393,201 : x
  2. Step 2: Convert to fraction form
    168,264/393,201 = 393,201/x
  3. Step 3: Cross multiply
    168,264x = 393,201 × 393,201
  4. Step 4: Simplify right side
    168,264x = 154,607,026,401
  5. Step 5: Solve for x
    x = 154,607,026,401/168,264
  6. Step 6: Final answer
    x = 918,836.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.