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Finding the Third Proportional to 181,840 and 388,948

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Solution

The third proportional to 181,840 and 388,948 is: 831,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,840 : 388,948 = 388,948 : x
  2. Step 2: Convert to fraction form
    181,840/388,948 = 388,948/x
  3. Step 3: Cross multiply
    181,840x = 388,948 × 388,948
  4. Step 4: Simplify right side
    181,840x = 151,280,546,704
  5. Step 5: Solve for x
    x = 151,280,546,704/181,840
  6. Step 6: Final answer
    x = 831,943.17

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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.