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Finding the Third Proportional to 110,309 and 233,619

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Solution

The third proportional to 110,309 and 233,619 is: 494,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,309 : 233,619 = 233,619 : x
  2. Step 2: Convert to fraction form
    110,309/233,619 = 233,619/x
  3. Step 3: Cross multiply
    110,309x = 233,619 × 233,619
  4. Step 4: Simplify right side
    110,309x = 54,577,837,161
  5. Step 5: Solve for x
    x = 54,577,837,161/110,309
  6. Step 6: Final answer
    x = 494,772.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.