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Finding the Third Proportional to 172,414.75 and 375,867.50

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Solution

The third proportional to 172,414.75 and 375,867.50 is: 819,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414.75 : 375,867.50 = 375,867.50 : x
  2. Step 2: Convert to fraction form
    172,414.75/375,867.50 = 375,867.50/x
  3. Step 3: Cross multiply
    172,414.75x = 375,867.50 × 375,867.50
  4. Step 4: Simplify right side
    172,414.75x = 141,276,377,556.25
  5. Step 5: Solve for x
    x = 141,276,377,556.25/172,414.75
  6. Step 6: Final answer
    x = 819,398.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.