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Finding the Third Proportional to 120,636 and 255,852

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Solution

The third proportional to 120,636 and 255,852 is: 542,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,636 : 255,852 = 255,852 : x
  2. Step 2: Convert to fraction form
    120,636/255,852 = 255,852/x
  3. Step 3: Cross multiply
    120,636x = 255,852 × 255,852
  4. Step 4: Simplify right side
    120,636x = 65,460,245,904
  5. Step 5: Solve for x
    x = 65,460,245,904/120,636
  6. Step 6: Final answer
    x = 542,626.13

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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.