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Finding the Third Proportional to 260,334 and 353,635

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Solution

The third proportional to 260,334 and 353,635 is: 480,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,334 : 353,635 = 353,635 : x
  2. Step 2: Convert to fraction form
    260,334/353,635 = 353,635/x
  3. Step 3: Cross multiply
    260,334x = 353,635 × 353,635
  4. Step 4: Simplify right side
    260,334x = 125,057,713,225
  5. Step 5: Solve for x
    x = 125,057,713,225/260,334
  6. Step 6: Final answer
    x = 480,374.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.