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Finding the Third Proportional to 188,418 and 409,558.50

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Solution

The third proportional to 188,418 and 409,558.50 is: 890,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,418 : 409,558.50 = 409,558.50 : x
  2. Step 2: Convert to fraction form
    188,418/409,558.50 = 409,558.50/x
  3. Step 3: Cross multiply
    188,418x = 409,558.50 × 409,558.50
  4. Step 4: Simplify right side
    188,418x = 167,738,164,922.25
  5. Step 5: Solve for x
    x = 167,738,164,922.25/188,418
  6. Step 6: Final answer
    x = 890,244.91

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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.