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Finding the Third Proportional to 184,101 and 409,674

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Solution

The third proportional to 184,101 and 409,674 is: 911,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,101 : 409,674 = 409,674 : x
  2. Step 2: Convert to fraction form
    184,101/409,674 = 409,674/x
  3. Step 3: Cross multiply
    184,101x = 409,674 × 409,674
  4. Step 4: Simplify right side
    184,101x = 167,832,786,276
  5. Step 5: Solve for x
    x = 167,832,786,276/184,101
  6. Step 6: Final answer
    x = 911,634.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.