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Finding the Third Proportional to 184,489 and 278,022

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Solution

The third proportional to 184,489 and 278,022 is: 418,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,489 : 278,022 = 278,022 : x
  2. Step 2: Convert to fraction form
    184,489/278,022 = 278,022/x
  3. Step 3: Cross multiply
    184,489x = 278,022 × 278,022
  4. Step 4: Simplify right side
    184,489x = 77,296,232,484
  5. Step 5: Solve for x
    x = 77,296,232,484/184,489
  6. Step 6: Final answer
    x = 418,974.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.