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Finding the Third Proportional to 181,728 and 424,485

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Solution

The third proportional to 181,728 and 424,485 is: 991,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,728 : 424,485 = 424,485 : x
  2. Step 2: Convert to fraction form
    181,728/424,485 = 424,485/x
  3. Step 3: Cross multiply
    181,728x = 424,485 × 424,485
  4. Step 4: Simplify right side
    181,728x = 180,187,515,225
  5. Step 5: Solve for x
    x = 180,187,515,225/181,728
  6. Step 6: Final answer
    x = 991,523.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.