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Finding the Third Proportional to 172,092 and 377,425.50

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Solution

The third proportional to 172,092 and 377,425.50 is: 827,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092 : 377,425.50 = 377,425.50 : x
  2. Step 2: Convert to fraction form
    172,092/377,425.50 = 377,425.50/x
  3. Step 3: Cross multiply
    172,092x = 377,425.50 × 377,425.50
  4. Step 4: Simplify right side
    172,092x = 142,450,008,050.25
  5. Step 5: Solve for x
    x = 142,450,008,050.25/172,092
  6. Step 6: Final answer
    x = 827,754.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.