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Finding the Third Proportional to 175,500 and 380,151

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Solution

The third proportional to 175,500 and 380,151 is: 823,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,500 : 380,151 = 380,151 : x
  2. Step 2: Convert to fraction form
    175,500/380,151 = 380,151/x
  3. Step 3: Cross multiply
    175,500x = 380,151 × 380,151
  4. Step 4: Simplify right side
    175,500x = 144,514,782,801
  5. Step 5: Solve for x
    x = 144,514,782,801/175,500
  6. Step 6: Final answer
    x = 823,446.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.