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Finding the Third Proportional to 172,477.13 and 377,016.75

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Solution

The third proportional to 172,477.13 and 377,016.75 is: 824,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477.13 : 377,016.75 = 377,016.75 : x
  2. Step 2: Convert to fraction form
    172,477.13/377,016.75 = 377,016.75/x
  3. Step 3: Cross multiply
    172,477.13x = 377,016.75 × 377,016.75
  4. Step 4: Simplify right side
    172,477.13x = 142,141,629,780.56
  5. Step 5: Solve for x
    x = 142,141,629,780.56/172,477.13
  6. Step 6: Final answer
    x = 824,118.73

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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.