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Finding the Third Proportional to 181,994 and 387,328

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Solution

The third proportional to 181,994 and 387,328 is: 824,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,994 : 387,328 = 387,328 : x
  2. Step 2: Convert to fraction form
    181,994/387,328 = 387,328/x
  3. Step 3: Cross multiply
    181,994x = 387,328 × 387,328
  4. Step 4: Simplify right side
    181,994x = 150,022,979,584
  5. Step 5: Solve for x
    x = 150,022,979,584/181,994
  6. Step 6: Final answer
    x = 824,329.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.