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Finding the Third Proportional to 172,854.75 and 375,229.50

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Solution

The third proportional to 172,854.75 and 375,229.50 is: 814,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854.75 : 375,229.50 = 375,229.50 : x
  2. Step 2: Convert to fraction form
    172,854.75/375,229.50 = 375,229.50/x
  3. Step 3: Cross multiply
    172,854.75x = 375,229.50 × 375,229.50
  4. Step 4: Simplify right side
    172,854.75x = 140,797,177,670.25
  5. Step 5: Solve for x
    x = 140,797,177,670.25/172,854.75
  6. Step 6: Final answer
    x = 814,540.40

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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.