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Finding the Third Proportional to 168,534 and 363,285

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Solution

The third proportional to 168,534 and 363,285 is: 783,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,534 : 363,285 = 363,285 : x
  2. Step 2: Convert to fraction form
    168,534/363,285 = 363,285/x
  3. Step 3: Cross multiply
    168,534x = 363,285 × 363,285
  4. Step 4: Simplify right side
    168,534x = 131,975,991,225
  5. Step 5: Solve for x
    x = 131,975,991,225/168,534
  6. Step 6: Final answer
    x = 783,082.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.