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Finding the Third Proportional to 181,282 and 388,795

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Solution

The third proportional to 181,282 and 388,795 is: 833,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,282 : 388,795 = 388,795 : x
  2. Step 2: Convert to fraction form
    181,282/388,795 = 388,795/x
  3. Step 3: Cross multiply
    181,282x = 388,795 × 388,795
  4. Step 4: Simplify right side
    181,282x = 151,161,552,025
  5. Step 5: Solve for x
    x = 151,161,552,025/181,282
  6. Step 6: Final answer
    x = 833,847.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.