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Finding the Third Proportional to 181,037 and 393,178

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Solution

The third proportional to 181,037 and 393,178 is: 853,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,037 : 393,178 = 393,178 : x
  2. Step 2: Convert to fraction form
    181,037/393,178 = 393,178/x
  3. Step 3: Cross multiply
    181,037x = 393,178 × 393,178
  4. Step 4: Simplify right side
    181,037x = 154,588,939,684
  5. Step 5: Solve for x
    x = 154,588,939,684/181,037
  6. Step 6: Final answer
    x = 853,907.98

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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.