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Finding the Third Proportional to 100,588 and 209,442

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Solution

The third proportional to 100,588 and 209,442 is: 436,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588 : 209,442 = 209,442 : x
  2. Step 2: Convert to fraction form
    100,588/209,442 = 209,442/x
  3. Step 3: Cross multiply
    100,588x = 209,442 × 209,442
  4. Step 4: Simplify right side
    100,588x = 43,865,951,364
  5. Step 5: Solve for x
    x = 43,865,951,364/100,588
  6. Step 6: Final answer
    x = 436,095.27

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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.