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Finding the Third Proportional to 168,972 and 263,151

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Solution

The third proportional to 168,972 and 263,151 is: 409,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,972 : 263,151 = 263,151 : x
  2. Step 2: Convert to fraction form
    168,972/263,151 = 263,151/x
  3. Step 3: Cross multiply
    168,972x = 263,151 × 263,151
  4. Step 4: Simplify right side
    168,972x = 69,248,448,801
  5. Step 5: Solve for x
    x = 69,248,448,801/168,972
  6. Step 6: Final answer
    x = 409,822.03

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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.