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Finding the Third Proportional to 184,482 and 405,069

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Solution

The third proportional to 184,482 and 405,069 is: 889,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,482 : 405,069 = 405,069 : x
  2. Step 2: Convert to fraction form
    184,482/405,069 = 405,069/x
  3. Step 3: Cross multiply
    184,482x = 405,069 × 405,069
  4. Step 4: Simplify right side
    184,482x = 164,080,894,761
  5. Step 5: Solve for x
    x = 164,080,894,761/184,482
  6. Step 6: Final answer
    x = 889,414.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.