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Finding the Third Proportional to 172,975.50 and 375,474

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Solution

The third proportional to 172,975.50 and 375,474 is: 815,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,975.50 : 375,474 = 375,474 : x
  2. Step 2: Convert to fraction form
    172,975.50/375,474 = 375,474/x
  3. Step 3: Cross multiply
    172,975.50x = 375,474 × 375,474
  4. Step 4: Simplify right side
    172,975.50x = 140,980,724,676
  5. Step 5: Solve for x
    x = 140,980,724,676/172,975.50
  6. Step 6: Final answer
    x = 815,032.91

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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.