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Finding the Third Proportional to 181,539 and 201,951

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Solution

The third proportional to 181,539 and 201,951 is: 224,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 201,951 = 201,951 : x
  2. Step 2: Convert to fraction form
    181,539/201,951 = 201,951/x
  3. Step 3: Cross multiply
    181,539x = 201,951 × 201,951
  4. Step 4: Simplify right side
    181,539x = 40,784,206,401
  5. Step 5: Solve for x
    x = 40,784,206,401/181,539
  6. Step 6: Final answer
    x = 224,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.