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Finding the Third Proportional to 185,858 and 409,228

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Solution

The third proportional to 185,858 and 409,228 is: 901,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,858 : 409,228 = 409,228 : x
  2. Step 2: Convert to fraction form
    185,858/409,228 = 409,228/x
  3. Step 3: Cross multiply
    185,858x = 409,228 × 409,228
  4. Step 4: Simplify right side
    185,858x = 167,467,555,984
  5. Step 5: Solve for x
    x = 167,467,555,984/185,858
  6. Step 6: Final answer
    x = 901,051.10

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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.