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Finding the Third Proportional to 172,305 and 251,774

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Solution

The third proportional to 172,305 and 251,774 is: 367,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,305 : 251,774 = 251,774 : x
  2. Step 2: Convert to fraction form
    172,305/251,774 = 251,774/x
  3. Step 3: Cross multiply
    172,305x = 251,774 × 251,774
  4. Step 4: Simplify right side
    172,305x = 63,390,147,076
  5. Step 5: Solve for x
    x = 63,390,147,076/172,305
  6. Step 6: Final answer
    x = 367,894.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.