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Finding the Third Proportional to 175,446 and 264,744

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Solution

The third proportional to 175,446 and 264,744 is: 399,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446 : 264,744 = 264,744 : x
  2. Step 2: Convert to fraction form
    175,446/264,744 = 264,744/x
  3. Step 3: Cross multiply
    175,446x = 264,744 × 264,744
  4. Step 4: Simplify right side
    175,446x = 70,089,385,536
  5. Step 5: Solve for x
    x = 70,089,385,536/175,446
  6. Step 6: Final answer
    x = 399,492.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.