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Finding the Third Proportional to 235,395 and 353,619

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Solution

The third proportional to 235,395 and 353,619 is: 531,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,395 : 353,619 = 353,619 : x
  2. Step 2: Convert to fraction form
    235,395/353,619 = 353,619/x
  3. Step 3: Cross multiply
    235,395x = 353,619 × 353,619
  4. Step 4: Simplify right side
    235,395x = 125,046,397,161
  5. Step 5: Solve for x
    x = 125,046,397,161/235,395
  6. Step 6: Final answer
    x = 531,219.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.