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Finding the Third Proportional to 188,506 and 409,736

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Solution

The third proportional to 188,506 and 409,736 is: 890,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,506 : 409,736 = 409,736 : x
  2. Step 2: Convert to fraction form
    188,506/409,736 = 409,736/x
  3. Step 3: Cross multiply
    188,506x = 409,736 × 409,736
  4. Step 4: Simplify right side
    188,506x = 167,883,589,696
  5. Step 5: Solve for x
    x = 167,883,589,696/188,506
  6. Step 6: Final answer
    x = 890,600.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.