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Finding the Third Proportional to 172,119.38 and 263,109.94

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Solution

The third proportional to 172,119.38 and 263,109.94 is: 402,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,119.38 : 263,109.94 = 263,109.94 : x
  2. Step 2: Convert to fraction form
    172,119.38/263,109.94 = 263,109.94/x
  3. Step 3: Cross multiply
    172,119.38x = 263,109.94 × 263,109.94
  4. Step 4: Simplify right side
    172,119.38x = 69,226,839,211.25
  5. Step 5: Solve for x
    x = 69,226,839,211.25/172,119.38
  6. Step 6: Final answer
    x = 402,202.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.