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Finding the Third Proportional to 119,408 and 260,256

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Solution

The third proportional to 119,408 and 260,256 is: 567,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408 : 260,256 = 260,256 : x
  2. Step 2: Convert to fraction form
    119,408/260,256 = 260,256/x
  3. Step 3: Cross multiply
    119,408x = 260,256 × 260,256
  4. Step 4: Simplify right side
    119,408x = 67,733,185,536
  5. Step 5: Solve for x
    x = 67,733,185,536/119,408
  6. Step 6: Final answer
    x = 567,241.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.