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Finding the Third Proportional to 100,584 and 209,430

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Solution

The third proportional to 100,584 and 209,430 is: 436,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 209,430 = 209,430 : x
  2. Step 2: Convert to fraction form
    100,584/209,430 = 209,430/x
  3. Step 3: Cross multiply
    100,584x = 209,430 × 209,430
  4. Step 4: Simplify right side
    100,584x = 43,860,924,900
  5. Step 5: Solve for x
    x = 43,860,924,900/100,584
  6. Step 6: Final answer
    x = 436,062.64

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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.