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Finding the Third Proportional to 181,552 and 416,728

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Solution

The third proportional to 181,552 and 416,728 is: 956,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,552 : 416,728 = 416,728 : x
  2. Step 2: Convert to fraction form
    181,552/416,728 = 416,728/x
  3. Step 3: Cross multiply
    181,552x = 416,728 × 416,728
  4. Step 4: Simplify right side
    181,552x = 173,662,225,984
  5. Step 5: Solve for x
    x = 173,662,225,984/181,552
  6. Step 6: Final answer
    x = 956,542.62

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.