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Finding the Third Proportional to 172,174 and 372,944

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Solution

The third proportional to 172,174 and 372,944 is: 807,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,174 : 372,944 = 372,944 : x
  2. Step 2: Convert to fraction form
    172,174/372,944 = 372,944/x
  3. Step 3: Cross multiply
    172,174x = 372,944 × 372,944
  4. Step 4: Simplify right side
    172,174x = 139,087,227,136
  5. Step 5: Solve for x
    x = 139,087,227,136/172,174
  6. Step 6: Final answer
    x = 807,829.45

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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.