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Finding the Third Proportional to 105,619 and 234,851

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Solution

The third proportional to 105,619 and 234,851 is: 522,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,619 : 234,851 = 234,851 : x
  2. Step 2: Convert to fraction form
    105,619/234,851 = 234,851/x
  3. Step 3: Cross multiply
    105,619x = 234,851 × 234,851
  4. Step 4: Simplify right side
    105,619x = 55,154,992,201
  5. Step 5: Solve for x
    x = 55,154,992,201/105,619
  6. Step 6: Final answer
    x = 522,207.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.