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Finding the Third Proportional to 100,624 and 209,600

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Solution

The third proportional to 100,624 and 209,600 is: 436,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624 : 209,600 = 209,600 : x
  2. Step 2: Convert to fraction form
    100,624/209,600 = 209,600/x
  3. Step 3: Cross multiply
    100,624x = 209,600 × 209,600
  4. Step 4: Simplify right side
    100,624x = 43,932,160,000
  5. Step 5: Solve for x
    x = 43,932,160,000/100,624
  6. Step 6: Final answer
    x = 436,597.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.