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Finding the Third Proportional to 172,852 and 375,212

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Solution

The third proportional to 172,852 and 375,212 is: 814,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,852 : 375,212 = 375,212 : x
  2. Step 2: Convert to fraction form
    172,852/375,212 = 375,212/x
  3. Step 3: Cross multiply
    172,852x = 375,212 × 375,212
  4. Step 4: Simplify right side
    172,852x = 140,784,044,944
  5. Step 5: Solve for x
    x = 140,784,044,944/172,852
  6. Step 6: Final answer
    x = 814,477.38

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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.