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Finding the Third Proportional to 120,016 and 262,628

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Solution

The third proportional to 120,016 and 262,628 is: 574,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,016 : 262,628 = 262,628 : x
  2. Step 2: Convert to fraction form
    120,016/262,628 = 262,628/x
  3. Step 3: Cross multiply
    120,016x = 262,628 × 262,628
  4. Step 4: Simplify right side
    120,016x = 68,973,466,384
  5. Step 5: Solve for x
    x = 68,973,466,384/120,016
  6. Step 6: Final answer
    x = 574,702.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.