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Finding the Third Proportional to 184,275 and 401,902

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Solution

The third proportional to 184,275 and 401,902 is: 876,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,275 : 401,902 = 401,902 : x
  2. Step 2: Convert to fraction form
    184,275/401,902 = 401,902/x
  3. Step 3: Cross multiply
    184,275x = 401,902 × 401,902
  4. Step 4: Simplify right side
    184,275x = 161,525,217,604
  5. Step 5: Solve for x
    x = 161,525,217,604/184,275
  6. Step 6: Final answer
    x = 876,544.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.